{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 实验题目 1：拉格朗日（Lagrange）插值"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 问题分析\n",
    "\n",
    "> 准确描述并总结出实验题目（摘要），并准确分析原题的目的和意义。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 方法概要\n",
    "\n",
    "给定平面上$n+1$个不同的数据点$(x_k, f(x_k)), k=0,1,\\cdots,n, x_i \\neq x_j, i \\neq j$则满足条件\n",
    "\n",
    "$$\n",
    "P_n(x_k) = f(x_k), k = 0, 1, \\cdots, n\n",
    "$$\n",
    "\n",
    "的$n$次拉格朗日插值多项式\n",
    "\n",
    "$$\n",
    "P_n(x) = \\displaystyle\\Sigma^n_{k=0}f(x_k)l_k(x)\n",
    "$$\n",
    "\n",
    "是存在唯一的。若$x_k\\in[a, b], k = 0, 1, \\cdots, n$，且函数$f(x)$充分光滑，则当$x\\in[a,b]$时，有误差估计式\n",
    "\n",
    "$$\n",
    "f(x) - P_n(x) = \\frac{f^{n+1}(\\xi)}{(n+1)!}(x-x_0)(x-x_1)\\cdots(x-x_n), \\xi \\in[a,b]\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 实验目的\n",
    "\n",
    "利用拉格朗日插值多项式 $P_n(x)$ 求 $f(x)$ 的近似值。\n",
    "\n",
    "**输入：** $n+1$个数据点$x_k,f(x_k), k=0,1,\\cdots,n$、插值点$x$\n",
    "\n",
    "**输出：** $f(x)$在插值点$x$的近似值$P_n(x)$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数学原理\n",
    "\n",
    "> 数学原理表达清晰且书写准确。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 证明 $P_n(x)$ 存在且唯一"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "**证明：** 使用归纳法证明。\n",
    "\n",
    "当 $n=0$，一定存在 $P_0(x) = C = f_0(x)$ 满足要求。\n",
    "\n",
    "假设当 $n=k-1$ 时，存在满足要求的 $P_{k-1}(x)$，则当 $n=k$，有\n",
    "\n",
    "$$\n",
    "P_{k}(x) = P_{k-1}(x) + c(x-x_0)(x-x_1)\\cdots(x-x_{k-1})(x-x_k), \\ \\text{c为系数}\n",
    "$$\n",
    "\n",
    "则$\\because P_n(x_n) = f(x_n), \\therefore$ 参数 $c$ 是可求的，故 $P_n(x)$ 是存在的。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "由多项式基本定理，$\\because P_n(x) \\text{的次数} \\leq n, \\therefore P_n(x)$ 是唯一存在的。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 计算方法"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "对平面上 $n+1$ 个点 $(x_k,f(x_k)), k=0,1,\\cdots,n, x_i\\neq x_j,i\\neq j$ 定义 $n$ 次多项式：\n",
    "\n",
    "$$\n",
    "L_k(x) = \\frac{(x-x_0)(x-x_1)\\cdots(x-x_{k-1})(x-x_{k+1})\\cdots(x-x_k)}{(x_k-x_0)(x_k-x_1)\\cdots (x_k-x_{k-1})(x_k-x_{k+1})\\cdots(x_k-x_n)}\n",
    "$$\n",
    "\n",
    "则 $L_k(x_k)=1,L_k(x_m)=0,m\\neq k$。\n",
    "\n",
    "定义：\n",
    "\n",
    "$$\n",
    "P_{n}(x) = f(x_0)L_0(x) + f(x_1)L_1(x) + \\cdots + f(x_n)L_n(x) = \\displaystyle\\Sigma^{n}_{k=0}f(x_k)L_x(x)\n",
    "$$\n",
    "\n",
    "为 $f(x)$ 的$n$次拉格朗日插值多项式。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 程序设计流程\n",
    "\n",
    "> 编译通过，根据输入能得到正确输出。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 引入需要的包\n",
    "import numpy as np\n",
    "from pandas import DataFrame\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# L_k(x)\n",
    "def L(k, x_list: np.ndarray):\n",
    "    def l(x: float):\n",
    "        x_k = x_list[k]\n",
    "        slice = np.array([*x_list[:k], *x_list[k+1:]])\n",
    "        repeat = np.array([x, ] * (len(x_list) - 1))\n",
    "        repeat_k = np.array([x_k, ] * (len(x_list) - 1))\n",
    "        return np.prod(repeat - slice) / np.prod(repeat_k - slice)\n",
    "    return l\n",
    "\n",
    "# 拉格朗日多项式 P_n(x)\n",
    "def P(f, x_list: np.ndarray, x: float):\n",
    "    return np.sum([f(x_list[k]) * L(k, x_list)(x) for k in range(len(x_list))])\n",
    "\n",
    "# 获得 x_list\n",
    "def linspace(r: int, n: int):\n",
    "    return [-r + k * (2 * r / n) for k in range(0, n + 1)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 问题一"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "问题 1：拉格朗日插值多项式的次数 n 越大越好吗？\n",
      "(1) 考虑 f(x) = 1 / (1 + x^2) in [-5, 5]\n",
      "          5       10       20\n",
      "0.75  0.5290  0.6790   0.6368\n",
      "1.75  0.3733  0.1906   0.2384\n",
      "2.75  0.1537  0.2156   0.0807\n",
      "3.75 -0.0260 -0.2315  -0.4471\n",
      "4.75 -0.0157  1.9236 -39.9524\n",
      "差值：\n",
      "          5       10       20\n",
      "0.75  0.1110 -0.0390   0.0032\n",
      "1.75 -0.1272  0.0556   0.0077\n",
      "2.75 -0.0369 -0.0988   0.0361\n",
      "3.75  0.0923  0.2979   0.5134\n",
      "4.75  0.0582 -1.8812  39.9949\n",
      "(2) 考虑 f(x) = e^x in [-1, 1]\n",
      "           5       10      20\n",
      "-0.95  0.4306  0.3867  0.3867\n",
      "-0.05  1.5272  0.9512  0.9512\n",
      " 0.05  1.6345  1.0513  1.0513\n",
      " 0.95  2.6414  2.5857  2.5857\n",
      "差值：\n",
      "           5    10   20\n",
      "-0.95 -0.0439  0.0  0.0\n",
      "-0.05 -0.5760  0.0 -0.0\n",
      " 0.05 -0.5832 -0.0  0.0\n",
      " 0.95 -0.0557 -0.0 -0.0\n",
      "画出两个函数以及其拉格朗日多项式的图像：\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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8D8bFH7IHOefOdc7ll9n/OnkJxlvyJqFqIe9D+hRJF0s60jlX0VClNfFHSVdLekfSInnfgreQ17H4U/+8hznnssMeoQznXJFz7gJ53xR/J+/axslLjq6QdG4VjvGpvHbst8q7btvlzShcJK+d/7PyPjBXZYK7mhgqL3FyqvxD7V711Mz2l5fUxEl6oIKRs4r7HhxoZieVt0Ek62hd8O/Y7ScvtuXyEuEkecPZfiXvrtgo59z/gooRQN2yqg93DQA15890/LO84SQPdc59VckuNTnHnfJGjHneOXdxpI+Pxq+u6yl1FEC0IzkAUG/M7Bx5TSn+45w7LsLHbi6v2UOKpAHOuVWRPD6ajrqqp9RRAA0BzYoA1KfXJc2QdKyZ7VvZxtV0lbz+AY/zoQu1VFf1lDoKIOrFBR0AgKbDOefM7HJJJ2vPOO+Rki2vPfSjET4umpg6rKfUUQBRj2ZFAAAAACTRrAgAAACAj+QAAAAAgCSSAwAAAAA+kgMAAAAAkkgOAAAAAPhIDgAAAABIasLzHJjZBknNJKUHHQsAAAAQId0k7XLOdazJzk12ngMz25GYmJjSp0+foEMBAAAAImLZsmXKzc3Ncs61rMn+TfbOgaT0Pn36DF6wYEHQcQAAAAARMWTIEC1cuLDGLWPocwAAAABAEskBAAAAAB/JAQAAAABJJAcAAAAAfCQHAAAAACSRHAAAAADwkRwAAAAAkNS05zmoEeecmurEcag/ZiYzCzoMAADQxJAcVEFhYaEyMzOVlZWlvLy8oMNBE5GQkKCUlBS1bdtWsbGxQYcDAACaAJKDShQWFmr16tXKyckJOhQ0MXl5ecrMzFR2dra6d+9OggAAAOocyUElMjMzlZOTo9jYWHXo0EHNmzdXTAxdNVC3ioqKlJ2drY0bNyonJ0eZmZlKS0sLOiwAANDIkRxUIisrS5LUoUMHpaamBhwNmoqYmJhQfVu3bp2ysrJIDgAAQJ3jK/AKOOdCfQyaN28ecDRoiorrXV5eHh3hAQBAnSM5qEDJD2M0JUIQStY7kgMAAFDX+MQLAAAAQBLJAQAAAAAfyQEAAAAQIc455RYUBh1GjZEcAAAAABHy1qy1OvaxrzVr9dagQ6kRkgMAAAAgAjZsz9E9HyzQ8s3ZOv3Jb/XGzPSgQ6o2kgPUWlFRkR588EENGzZMzZo1k5mpT58+kqR77rlHsbGxWrhwYY2Pv379eiUnJ+u3v/1tpEKuV59++qnMTFOnTg2Vvf/++0pOTtaHH34YYGQAACBSnHO69e15ysopkCQ1T4jTQX3bBRxV9ZEcoNZuv/123XzzzcrMzNT48eN14YUX6sorr9TGjRv117/+VWeccYYGDx5c4+N36tRJv/71r/X0009r8eLFEYy8fhx55JE6+uijdeutt0qSvvzyS51zzjl65plndMIJJwQcHQAAiIQ3ZqZryuLNoeXbjh+kzq2SA4yoZpghGbWye/duPf7442rTpo1+/PFHtWnTJrTummuu0c6dO0Mfimvjpptu0hNPPKE777xTkyZNqvXx6ttDDz2kESNG6M9//rMeeOABPfjggzrvvPOCDgsAAETAmq279McPfwotHzagvc4a2y3AiGqOOweolW+//VbZ2dk68cQTSyUGu3bt0gsvvKBhw4Zp+PDhtT5Ply5ddPjhh+udd97Rxo0ba328+rbPPvvo7LPP1m233aYbbrihwTaRAgAApRUVOd381jztzPWaE7VMitP9pw6TmQUcWc2QHKBGpkyZIjPTEUccIUmaOHGizExmprvuuktvvvmmtm/fHvbb8XPPPVdmpvvuu2+vdd98842SkpKUlpamZcuWldonPz9fEydOrJPXVB3z58/XpZdeql69eikxMVEdOnTQhRdeqLVr15a7/dy5c/Xxxx8rPj5e7du3r+doAQBAXXll+ipNXZoZWr77xCHqmJoUYES1Q3KAGomLi9OFF16oHj16SJJOOOEEXXjhhbrwwgt19NFHhzraHnbYYeXuf++99youLk7/93//px07doTKFy9erJNOOkmxsbH66KOPQh2bSx7ro48+qpsXVUV///vfNXLkSD3//PPq1KmTTjzxRLVs2VIvvvii9t9/f2VkZJTafunSpTr66KN15ZVX6tZbb9Xdd9+tnTt3BhQ9AACIlFWZ2frzx4tCy0cN7qBTRnYJMKLaIzlAjRx88MGaOHFiqCnRCy+8oIkTJ2rixIk64IAD9M033yghISFsk6K+ffvqoosu0tatW/XYY49JkjZu3Khjjz1W27dv1xtvvKGxY8eW2qd3795q166dZsyYodzc3ArjO+yww0J3Mqr6+OKLLyp93e+8845+97vfqXfv3po1a5a+/fZbvfnmm1q0aJEuueQSpaen66GHHgptv3btWh155JE6+eSTdd999+mGG25QYWFhqW0AAEDDU1jkdMObc7U735vwrHWzeN13yj4NtjlRMToko8YKCgq0cOFCdevWrVR/g02bNmnDhg3q16+fEhMTw+5/55136qWXXtLDDz+sSy65RCeddJJWrFihf/3rXzr++OPL3WfAgAGaOnWqFi9erGHDhoU99jHHHKOePXtW6/V07NixwvU7d+7UFVdcoZSUFE2ePFm9evUKrYuNjdWDDz6oZ599Vp999pkkKTMzU0cddZTGjBmjf/zjH5KklJQU3Xbbbbr99tt1xRVXqFOnTtWKEQAARIfnp67Q9yv3THT2p5P3UfuU8J97GgqSg1pwzmmHP5ZtQ9IyKS4iWe3ChQuVm5urESNGlCrftGmTJKl169YV7t+1a1f95je/0SOPPKLhw4crIyNDd911ly699NKw+xQnIZs3bw67jSTdcsstVXgF1fP0009r06ZNuvnmm0slBiVjS0lJ0ZYtWyRJbdu21YIFC/ba7ve//71+//vfRzw+AABQP5Zu2qkHP9kzvPoJwzrp+GGN4ws/koNa2JFToOH3/DfoMKpt7l1HKTU5vtbHmTNnjiTtlRxs375dkvcteWWuu+46Pfroo8rIyNCECRN09913V7h9y5YtS52jPr377ruSpAceeEAPPPBA2O1K9pMAAACNS0Fhka5/c67yCookSe1aJOqPJw0NOKrIITlAjc2dO1fS3slBamqqJJXqaFwe55yuu+46OeckeZ2cK1OcFBSfI5z7779fixYtqnCbsm655RYNHDgw7Pq5c+cqKSlJZ511VoXHKXs9AABA4/HPr5Zrbvq20PL9p+6j1s0TggsowkgOUGPFdw7KdjpOS0uTpFDzmnCuu+46vfnmmxo/frymT5+uiRMn6qabblK/fv3C7rN1q9e2r7LhQCdPnqwvv/yyspdQyoQJE8ImB3l5edqxY4d69eoVFUOpAgCA+rdoww49+tnPoeXTRnXVEYM7BBhR5JEc1ELLpDjNveuooMOotpZJkfm1z507Vy1btlTv3r1Llaelpaljx45atWqVdu/ereTkvacOf/jhh/Xoo49q33331aRJk/Tkk0/q+uuv15133qnXXnst7DkXLVqkpKQkDRgwoMLYqjLyUHUkJCQoOTlZ6enpys7OVvPmzSN6fAAAEN3yC4t0/RtzlV/otXjo2DJJd44fHHBUkcdQprVgZkpNjm9wj0h0Rk5PT1dmZqaGDSt/BsCDDz5YBQUFmj179l7r3njjDd1www3q27evPvjgAyUnJ+s3v/mNOnbsqEmTJmnevHnlnnPZsmXKzMzUuHHjKhwFqa4ceeSRKigo0G9+8xvt2rWr1DrnnD7//HNNnTq13uMCAAB172//W6oF6/Y0mX7w9GER6cMZbUgOUCPhOiMXKx6KdMqUKaXKv/zyS11wwQVq166dJk+eHGoelJycrFtuuUXOOd12223lHrP4bsBxxx1X+xdQAw888IDatGmjl156ST179tTxxx+vs846SwcddJA6deqkI444gsnNAABohGat3qq/T1kaWj533+46pH/FTZwbKpID1Ei4zsjFzjzzTKWmpurVV18NlS1cuFAnn3yyYmNj9eGHH+41qs/ll1+uLl266MMPP9S0adP2Ouarr76q+Ph4TZgwIWKvozoGDhyo2bNn6/LLL1eLFi302Wef6eOPP9b69eu1//7761//+pcOOeSQQGIDAAB1Izu3QNdNmqPCIq85Ufc2zXTbcYMCjqru0OcANXL77bfr9ttvD7s+OTlZF110kR599FHNmjVLo0aN0uDBg0MdisuTlJSkNWvWlLtuzZo1+uKLL3T66aerQ4fgOv50795dTz31VGDnBwAA9eu+j3/SykyvOXGMSY+cNVzNExvvR2juHKDO3HrrrWrRooXuv//+Wh/roYceUkxMjO69994IRAYAAFC5z3/aqFenrw4tX3lYX43u0SbAiOoeyQHqTFpamm688Ua99dZbWrhwYY2Ps379ej399NO67LLLKh2lCAAAIBIyd+bq5rf2DJKyT5dUXXNE+OHWG4vGe08EUeHOO+/UnXfeWatjdOrUSbt3745QRAAAABVzzunWt39Uxs48SVJiXIweOWu44mMb//fqjf8VAgAAANXw5g9r9N+FG0PLtx47UH3TUgKMqP6QHAAAAAC+1Zm7dM/7C0LLB/drpwv27xlcQPWM5AAAAACQVFjkdN0bc5SdVyhJSk2O10OnD1dMTO0nkG0oSA4AAAAASf/8aplmrtoz7Pp9pwxVx9SkACOqfyQHAAAAaPLmr92uRz79ObR88ojOOmFY5wAjCgbJAQAAAJq0nPxCXTtpjvILvVmQO6Um6Z6ThgYcVTBIDipgtqd9WVFRUYCRoKkqWe9K1kcAABA5D05erCWbdoaW/++M4UpNjg8wouCQHFTAzJSQkCBJys7ODjgaNEXF9S4hIYHkAACAOvDlz5v13NQVoeVLD+qlA/q2CzCiYDEJWiVSUlKUmZmpjRu9sW6bN2+umBhyKtStoqIiZWdnh+pdSkrTGFsZAID6lLEzV9e/MTe03L9DC91w9IAAIwoeyUEl2rZtq+zsbOXk5GjdunVBh4MmKCkpSW3btg06DAAAGhXnnG769zxl7MyVJCXExejxc0YqKT424MiCRXJQidjYWHXv3l2ZmZnKyspSXl5e0CGhiUhISFBKSoratm2r2Nim/UYFAECkvThtlf63aFNo+Q/HDtTAji0DjCg61Do5MLNmko6SNF7SWEk9JcVKWirpLUkPO+d2hj3A3sdbKalHBZsMcs4tqmm8NREbG6u0tDSlpaXJOSfnXH2eHk2QmdHHAACAOrJ4Q5bu+/in0PLhA9rrwgN6BhdQFInEnYNzJf3L/3mBpMmSWko6QNI9ks4xs0Odc5vC7B/OC2HKt9coygjhQxsAAEDDlZNfqKtfm628Am9EwHYtEvXQGcP5fOeLRHKQJ+lJSY8455YUF5pZJ0kfSRop6VF5SUSVOecmRCA2AAAAIOQvH/+kxRuzQsv/d+ZwtWuRGGBE0aXWw+445150zl1ZMjHwy9dL+q2/eKqZJdT2XAAAAEBN/W/RRr0wbVVo+ZKDeunQ/u0DjCj61PWYnMVjQyVKYrgVAAAABGLTjhzd8Oa80PKgTi110zFNe9jS8tT1aEW9/ed8SVuqs6OZ3Sipj6RceX0Z3nHObY5seAAAAGjsioqcrn9zrrZke6NOJsXH6G/njFBiHKMBllXXycE1/vNk51xuNfd9sMzyI2Z2tXPu2eocxMwWhFnVp5rxAAAAoAF6buoKfb0kI7R8xwmD1TeNCUbLU2fNiszsOEmXyLtrcEc1dn1f0qnyhjNtJmmopIflNU16xsxOjmykAAAAaKzmr92uBybvGQX/qMEddO647gFGFN3q5M6BmQ2S9LIkk3Sjc25uJbuEOOeuLlO0QNL1ZrZY0j8lPSDp3Wocb0iYGBdIGlzV4wAAAKBh2Z1XqGten638Qm+Oqg4tE/XAacMYtrQCEb9zYGZd5c110FreBGiPRejQz0jaJKm/mfWK0DEBAADQSN3zwQIt25wtSTKTHj5zhFo3ZwDNikQ0OTCzdpI+ldRd0vOSbojUsZ1zRZKW+YudInVcAAAAND7vz12n179PDy3/+pDeOrBvuwAjahgilhyYWYqk/0gaKOltSZc551ykju9r7T/vjPBxAQAA0EiszMjWH97+MbQ8vFsrXX8kw5ZWRUSSAzNLlPSepDGSPpF0jnOuMBLHLnGOIZIGSNolaVElmwMAAKAJyi0o1FWvzdLO3AJJUkpSnJ44Z6QS4up6eq/GodZXycxiJb0m6XBJX0s61TmXV8k+V5nZIjP7S5nyo81sdDnbD5P0prwOzs9UdnwAAAA0Tff/Z5Hmr90RWn7wtGHq1qZZgBE1LJEYregqSaf4P2dI+keYHuA3OOeKB5htJ+8uQNm+A/tLusvMVsnrX7BZUi9Jo/xYv5R0awRiBgAAQCPz6cKNen7qytDy+ft117H70FW1OiKRHLQu8fMpYbeS7paXPFTkE0ndJI2VNFxSqqQdkr6R9Iqk5yPdXAkAAAAN39ptu3XDm3tGzx/YMUW3H8+o9dVV6+TAOXe3vA/+td7HOTdN0rTaxgQAAICmo6CwSNe8Nlvbd+dLkpolxOrv541SUnxswJE1PPTMAAAAQIP2yGc/a+aqraHlP540VH3atwgwooaL5AAAAAAN1tdLNusfXywLLZ82qqtOG901wIgaNpIDAAAANEibsnJ07aQ5Kp5Zq3f75rr3pCHBBtXAkRwAAACgwSkscrp20hxl7PRGuE+Ii9Hfzx2l5omRGG+n6SI5AAAAQIPz5BdLNXVpZmj5zhMGa1CnlgFG1DiQHAAAAKBB+W55ph7+9OfQ8nH7dNR5+3YPMKLGg+QAAAAADcamrBz97rXZKvL7GXRrk6y/nDpMYSbhRTWRHAAAAKBBKCxyuua1OdqclStJSoj1+hmkJscHHFnjQXIAAACABuGRT3/WtOV7+hncccIgDevaKriAGiGSAwAAAES9KYs36YkpS0PL44d31vn79QgwosaJ5AAAAABRbe223bp20pzQcu/2zfWXU/ehn0EdIDkAAABA1MorKNJvX5mlbbvyJUlJ8TF68rzRasF8BnWC5AAAAABR688f/6Q56dtCy/edvI8GdEwJLqBGjuQAAAAAUemjees18duVoeWzx3bTaaO7BhdQE0ByAAAAgKizfPNO3fzWvNDy4E4tdfeJQwKMqGkgOQAAAEBUyckv1JWvzNLO3AJJUkpinP5x3iglxccGHFnjR3IAAACAqHLne/O1aENWaPmhM4apZ7vmAUbUdJAcAAAAIGq8MTNdb8xcE1q++MBeOmZopwAjalpIDgAAABAV5q/drtvfnR9aHtm9lW45dmCAETU9JAcAAAAI3NbsPF3+0g/KKyiSJLVpnqC/nztKCXF8XK1PXG0AAAAEqrDI6erXZ2vttt2SpBiTnjhnpDq3Sg44sqaH5AAAAACBeuTTn/X1kozQ8k3HDNQBfdsFGFHTRXIAAACAwPx3wQY9MWVpaPnYoR11+SG9A4yoaSM5AAAAQCCWb96p69+YG1ru0765HjpjuMwswKiaNpIDAAAA1Lvs3AJd8fIPyvInOmueEKt//mqMWiTGBRxZ00ZyAAAAgHrlnNPNb83Tzxt3hsr+esZw9U1rEWBUkEgOAAAAUM+e/WaFPpy3PrR8+aG9dew+THQWDUgOAAAAUG++W56pv/xnUWj5gD5tdeNRAwKMCCWRHAAAAKBebNieo6tenaXCIidJ6pyapL+dM1JxsXwkjRb8JgAAAFDncgsKdeUrPyhjZ54kKSE2Rk+eP1ptWyQGHBlKIjkAAABAnXLO6a73FmjW6m2hsntOGqLh3VoFFhPKR3IAAACAOvXyd6v0+vfpoeWzxnTTOeO6BxgRwiE5AAAAQJ35bnmm7vlgYWh5VPdWuvfkIQFGhIqQHAAAAKBOrNm6S1e+MksFfgfkDi0T9dT5o5UYFxtwZAiH5AAAAAARtzuvUJe/9IO2ZO/pgPzU+aOV1jIp4MhQEZIDAAAARJRzTje9NU8L1u0Ild13ylCN7N46wKhQFSQHAAAAiKh/frVcH8xdF1q+6MCeOmNMtwAjQlWRHAAAACBivli8SQ9MLj0D8m3HDQowIlQHyQEAAAAiYkVGtn732mw5r/+xurZO1hPnjmIG5AaE3xQAAABqLSsnX5e9OFNZOQWSpOT4WP3rgjFq0zwh4MhQHSQHAAAAqJWiIqdrJ83R0k07Q2V/PWO4BnVqGWBUqAmSAwAAANTKI5/9rM9+2hRavurwvjp+WKcAI0JNkRwAAACgxt6bs1Z/+9/S0PIvB6bpuiP7BxgRaoPkAAAAADUye/VW3fjveaHlvmkt9MjZIxQTYwFGhdogOQAAAEC1rdu2W79+6QflFRRJklo1i9ezF45Ry6T4gCNDbZAcAAAAoFp25RXo0hdmanNWriQpLsb05Hmj1aNt84AjQ22RHAAAAKDKioqcrps0VwvX7wiV/enkodq/T9sAo0KkkBwAAACgyh757GdNXrAhtHzxgb109rjuAUaESCI5AAAAQJWUHZno0P7t9YfjBgYYESKN5AAAAACVKm9kor+dO1JxsXycbEz4bQIAAKBC67bt1mUvMjJRU0ByAAAAgLCKRybK2LlnZKKnzmdkosaK5AAAAADlCjcy0X69GZmosSI5AAAAQLke+GRRqZGJLjmIkYkaO5IDAAAA7OXV6av1zy+Xh5YPG9BefzhuUIARoT6QHAAAAKCUr37erDvemx9aHtgxRX87Z6RiYyzAqFAfSA4AAAAQsnhDlq58ZZYKi5wkKS0lUc9NGKsURiZqEkgOAAAAIEnatCNHF0/8XjtzCyRJyfGxem7CWHVulRxwZKgvJAcAAADwhix9cabWbtstSTKT/nbOSA3tkhpwZKhPJAcAAABNXGGR0zWvz9G8NdtDZXeeMFhHDO4QYFQIAskBAABAE/eXj3/Spws3hpYnHNBTFx3YK8CIEBSSAwAAgCbspWkr9cw3K0LLvxyYpjtOGBxgRAgSyQEAAEATNWXRJt31/oLQ8pDOLfU4Q5Y2aSQHAAAATdDCdTt01auz5I9Yqo4tk/TshWPVPDEu2MAQKJIDAACAJmbttt26aOIMZecVSpKaJ3hDlnZMTQo4MgSN5AAAAKAJ2b4rXxOem6GNO3IlSTEmPXHuKA3u3DLgyBANSA4AAACaiJz8Ql320kwt2bQzVPank/fR4QPTAowK0YTkAAAAoAkoKnK6/s25mrFiS6jsd7/oq3P37R5gVIg2JAcAAABNwJ8//kkfzVsfWj5tVFddd2T/ACNCNCI5AAAAaOSe/WZFqbkMDu7XTvefto/MGLIUpdU6OTCzZmZ2spk9a2bzzGyHmWWb2Vwzu9PMWtTgmK3M7FEzW2Vmuf7zY2bWqrbxAgAANCUf/7hef/poYWh5cKeWevL80YqP5Tti7C0SteJcSe9Iutg/3mRJX0vqJekeSd+bWZV7uZhZW0kzJF0jqUDSu5KyJF3tH6ttBGIGAABo9Gas2KLfT5oj589l0KVVsiZeNFYtmMsAYUQiOciT9KSk/s65oc65M51zx0gaIGm2pIGSHq3G8R6R1E/S25IGOOfOcs4NlfQ3SX0lPRyBmAEAABq1pZuydNmLM5VXUCRJSk2O1wsXj1VaS+YyQHi1Tg6ccy865650zi0pU75e0m/9xVPNLKGyY5lZR0nnScqXdKVzrqDE6hslbZZ0npl1qG3cAAAAjdXGHTm68LnvtX13viQpIS5Gz1w4Rn3TUgKODNGurhubzfWfEyVVpTnQsfJi+so5t7HkCudcrqQPJMX62wEAAKCMHTn5uuj577V2225Jkpn02FkjNLZnm4AjQ0NQ18lBb/85X9KWijb0DfefZ4VZP6vMdgAAAPDl5Bfq1y/O1ML1O0Jld54wWMfu0ynAqNCQ1HVycI3/PNn/5r8yxbNwrAmzfk2Z7QAAACCpsMjp96/P0XfL93wfe9nBvXTRgb0CjAoNTZ11VTez4yRdIu+uwR1V3K142NNdYdZnl9muKnEsCLOqT1WPAQAAEM2cc7r93fmavGBDqOzUkV1067GDAowKDVGd3Dkws0GSXpZkkm50zs2tZJfQrv6zq2Q9AAAAfI98+rNem7E6tHz4gPZ64PRhionhoxOqJ+J3Dsysq7y5DlpLetg591g1ds/yn5uHWd/Mf95Z1QM654aUV+7fURhc9dAAAACiz8SpK/T4/5aGlkd1b6V/nMckZ6iZiNYaM2sn6VN5fQKel3RDNQ9RnPJ2DbO+a5ntAAAAmqz3567TPR/umf24X1oLPTdhrJITYgOMCg1ZxJIDM0uR9B95k569Leky51y45kHhFDc/GhVmfXH5vOpHCAAA0Hh8vWSzrn+j9OzHL14yTq2aVTq1FBBWRJIDM0uU9J6kMZI+kXSOc66wBoeaLKlI0sFmllbOOcb76/9Tu4gBAAAarrnp23T5Sz8ov9DLDFo3i9cLF49Tp9TkgCNDQ1fr5MDMYiW9JulwSV9LOtU5l1fJPleZ2SIz+0vJcn9W5dckJUj6h5mV7BPxoKT2kl51zm0QAABAE7Rs805NeH6GduV538M2S4jV8xeNU9+0Kg/mCIQViQ7JV0k6xf85Q96H+vK2u8E5l+H/3E7SAEnlzcjxe0n7STpN0iIzmylpiKShkpZJujYCMQMAADQ4G7bn6IJnZ2jrrnxJUnys6anzR2tEt1bBBoZGIxLJQesSP58SdivpbnnJQ4WccxlmNlbSPZJO9o+5UdITku5yzlVlpmUAAIBGZUt2ns5/drrWbtstSTKT/nrGcB3Sv33AkaExser3GW4czGzB4MGDBy9YEG6ONAAAgOiwIydf5/1run5cuz1Udvf4wZrA7McoY8iQIVq4cOHCcMP5V4YBcAEAAKLY7rxCXTpxZqnE4Jpf9iMxQJ0gOQAAAIhSeQVF+s0rP2jGyj2tqi8+sJd+f0S/AKNCY0ZyAAAAEIUKi5yunTRHXyzeHCo7c0xX3XHCIIUZ/AWoNZIDAACAKOOc0x/e/lEf/bg+VHbcPh31l1OHkRigTpEcAAAARBHnnO776CdNmpkeKju0f3s9etZIxcaQGKBukRwAAABEkcc/X6pnvlkRWh7Xs42eOn+0EuL42Ia6Ry0DAACIEs99s0KPfPZzaHlol5Z6ZsIYJSfEBhgVmhKSAwAAgCjwxsx03fvhwtByn/bN9cJF49QyKT7AqNDUkBwAAAAE7IO563TLW/NCy11bJ+uVS/dT2xaJAUaFpojkAAAAIECT52/Q7yfNUZHzltunJOqVS/dVx9SkYANDk0RyAAAAEJD/Ldqo3702S4V+ZtCmeYJeuXRf9WjbPODI0FSRHAAAAATg6yWbdcXLs5Rf6CUGqcnxeumScerfISXgyNCUkRwAAADUs++WZ+qyF2cqr6BIkpSSGKcXLx6nIZ1TA44MTR3JAQAAQD36YdUWXTzxe+Xke4lBs4RYTbx4rIZ3axVsYIBIDgAAAOrN3PRtmvDc99qVVyhJSoqP0XMTxmp0jzYBRwZ4SA4AAADqwYJ12/WrZ6crK7dAkpQQF6N/XTBG+/VuG3BkwB4kBwAAAHVs8YYsnf/MdO3I8RKD+FjTU+eP0sH92gccGVAayQEAAEAdWrZ5p857Zrq27sqXJMXGmP52zij9YmCHgCMD9kZyAAAAUEdWZmTr3H99p4yduZKkGJMePWuEjhnaMeDIgPKRHAAAANSBlRnZOvvp77Rxh5cYmEl/PWO4xg/vHHBkQHgkBwAAABFWnBhs2JETKvvzKfvo1FFdA4wKqBzJAQAAQAStCJMYnDOue4BRAVVDcgAAABAhKzKydU45icG5+5IYoGGICzoAAACAxsC7YzAt1MdAIjFAw8OdAwAAgFoiMUBjwZ0DAACAWigvMfjLqfQxQMNEcgAAAFBDyzfv1Dn/+o7EAI0GzYoAAABqgMQAjRF3DgAAAKqpvMTg/lP30dkkBmjgSA4AAACqYfGGLJ33zHRl7CQxQONDcgAAAFBF89du16+ena6tu/JDZSQGaExIDgAAAKpgTvo2XfDsdO3IKZAkxZj04OnDdfrorgFHBkQOyQEAAEAlvl+5RRc9/7125nqJQWyM6ZGzRujE4Z0DjgyILJIDAACACny7NEOXvDBTu/MLJUnxsaa/nTNKxwztGHBkQOSRHAAAAITxxeJNuvylH5RbUCRJSoiL0T/PH63DB6YFHBlQN0gOAAAAyvHfBRt01auzlVfoJQZJ8TF65oKxOqhfu4AjA+oOyQEAAEAZH81br2ten62CIidJap4Qq+cmjNW+vdsGHBlQt0gOAAAASnhn9hpd/8Zc+XmBUpLi9MLF4zSqe+tgAwPqAckBAACA77UZq/WHd36U8xODVs3i9fIl+2pol9RgAwPqCckBAACApKe/WqY/f7wotNyuRYJevnRfDezYMsCogPpFcgAAAJo055z+778/64kpS0NlHVom6pVL91PftBYBRgbUP5IDAADQZBUVOd39wQK9OG1VqKx7m2Z65dJ91a1NswAjA4JBcgAAAJqk/MIi3fTveXpn9tpQ2YAOKXrpknFKa5kUYGRAcEgOAABAk5OTX6irXp2tz37aGCob3q2VXrhorFo1SwgwMiBYJAcAAKBJ2ZlboF+/OFPfLssMlR3Qp62evmCMWiTy0QhNG38BAACgydi2K08XPv+95qZvC5UdObiD/nbOSCXFxwYXGBAlSA4AAECTsHFHjn717HT9vHFnqOyUkV304OnDFB8bE2BkQPQgOQAAAI1e+pZdOu+Z6Vq9ZVeo7IL9e+ju8UMUE2MBRgZEF5IDAADQqC1ct0MXPj9Dm7NyQ2VXHd5X1x/VX2YkBkBJJAcAAKDR+m55pi57YaaycgtCZX84bqB+fUifAKMCohfJAQAAaJQmz9+gq1+frbyCIklSjEl/OXUfnTW2e8CRAdGL5AAAADQ6r0xfpTvena8i5y0nxsXoiXNH6cjBHYINDIhyJAcAAKDRcM7p8c+X6pHPfg6VtUyK07MTxmpszzYBRgY0DCQHAACgUSgscrr7/QV66btVobIOLRP14sX7akDHlAAjAxoOkgMAANDg5RYU6tpJc/TxjxtCZb3bN9eLF49T19bNAowMaFhIDgAAQIOWlZOvX7/4g6YtzwyVDe/WSs9PGKs2zRMCjAxoeEgOAABAg7UpK0cTnvteC9fvCJUd2r+9njx/lJol8DEHqC7+agAAQIO0bPNOTXh+htK37A6VnTKyix48fZjiY2MCjAxouEgOAABAgzNz5RZd+uJMbduVHyq77OBeuvXYQYqJYdZjoKZIDgAAQIPynx/X65pJc0KTm0nMegxECskBAABoMJ75ernu+/gnOX9ys4TYGP3fmcM1fnjnYAMDGgmSAwAAEPWKipz+9NFPem7qilBZy6Q4/euCMdq3d9sAIwMaF5IDAAAQ1XLyvTkM/jN/zxwGXVol64WLx6pvGpObAZFEcgAAAKLWluw8XfbiTP2wamuobGiXlnpuwlilpSQFGBnQOJEcAACAqLQqM1sTnv9eKzKyQ2WHD2ivJ84dpeaJfIQB6gJ/WQAAIOrMSd+mSyZ+r8zsvFDZOeO66Y8nDVUccxgAdYbkAAAARJXJ89fr95PmKCd/z1ClNx49QFce1kdmzGEA1CWSAwAAEBWcc/rnV8t1/38WhcriYkwPnj5Mp47qGmBkQNNBcgAAAAKXV1CkO96dr0kz00NlKUlxeur80Tqwb7sAIwOaFpIDAAAQqO278nXFyz9o2vLMUFn3Ns303IQxDFUK1DOSAwAAEJiVGdm6+IXvtXzznhGJxvRorX/+arTatkgMMDKgaYpIcmBmoyUdKWmcpH0ldZaU65yr9gDEZrZSUo8KNhnknFtUwXoAANAAzFixRZe/NFNbd+WHyk4a0VkPnDZMSfGxAUYGNF2RunNwh6STInSsYi+EKd8e4fMAAIB69s7sNbr53z8qr3DPiETXHtFfV/+yLyMSAQGKVHIwTdJcSd/7jw0Vb14559yE2h4DAABEF+ecHvn0Zz3+v6WhsoTYGD10xjCdNKJLgJEBkCKUHDjnHii5TMYPAADKyskv1I3/nqcP5q4LlbVpnqCnfzVaY3q2CTAyAMXokAwAAOrchu05uvylmZq7Zk/r4D7tm+v5CePUvW2zACMDUFLUJgdmdqOkPpJyJS2Q9I5zbnOwUQEAgOqak75Nv35xpjZl5YbKDuzbVv84b7RSk+MDjAxAWVGbHEh6sMzyI2Z2tXPu2eocxMwWhFnVp2ZhAQCAqnp39lrd9NY85RXs6Xj8q/166M7xgxUfGxNgZADKE43JwfuSpkj6QdJmSb0lXSzpGknPmFmmc+7d4MIDAACVKSxyeuiTxXrqy2WhsrgY090nDtH5+1U0YjmAIEVdcuCcu7pM0QJJ15vZYkn/lPSApHercbwh5ZX7dxQG1zBMAAAQRlZOvn7/+hx9vmhTqKx1s3j947zR2r9P2wAjA1CZhnQ/7xlJmyT1N7NeQQcDAAD2tiozW6f+49tSicGADil677cHkRgADUDU3TkIxzlXZGbLJKVJ6iRpRcAhAQCAEr5dmqErX52lbSVmPD5iUAc9evYItUhsMB85gCatof2ltvafdwYaBQAAKOWlaSt19wcLVVjkQmW/PbyPrj9ygGJimP8IaCgaTHJgZkMkDZC0S9KigMMBAACS8gqKdM8HC/TK9NWhssS4GD14OjMeAw1RIH0OzOwqM1tkZn8pU360mY0uZ/thkt6UZJKecc7l1VOoAAAgjE07cnTOv74rlRh0aJmoNy7fn8QAaKAicufAzI6XdEeZ4gQz+67E8h+dcx/5P7eTdxegU5l99pd0l5mtkrRM3lCmvSSN8mP9UtKtkYgZAADU3A+rtug3L88qNbHZ8G6t9PSvRqtDy6QAIwNQG5FqVtRe0r5lyqxMWfsqHOcTSd0kjZU0XFKqpB2SvpH0iqTnnXOFtY4WAADUiHNOr85YrbvfX6D8wj39C84c01X3njRUSfGxAUYHoLYikhw45yZKmliN7e+WdHc55dMkTYtETAAAILJy8gt113sLNGlmeqgsPtZ01/ghOm/f7jKj4zHQ0DWYDskAACA467fv1hUvz9Lc9G2hsvYpiXryvFEa07NNcIEBiCiSAwAAUKHpyzP121dnKWPnnvFARnVvpSfPp38B0NiQHAAAgHI55/TCtyv1p49+UkGJ+QvO27e77ho/RAlxgQx6CKAOkRwAAIC95OQX6g/v/Ki3Z60NlSXExujek4bo7HHdA4wMQF0iOQAAAKWsztyl37zygxas2xEq69gySU+eP0oju7cOMDIAdY3kAAAAhHy6cKOue2OOsnIKQmXjerbR388bpfYpiQFGBqA+kBwAAAAVFBbpr//9WU99uaxU+YQDeuq24wcpPpb+BUBTQHIAAEATtykrR1e/NlvfLd8SKmuWEKv7TxumE4d3DjAyAPWN5AAAgCZsxootuurVWdqUlRsq65vWQk+dP0p901ICjAxAEEgOAABogpxz+tfXy/XA5MUqLDFM6UkjOuvPp+yj5ol8RACaIv7yAQBoYnbk5OuGN+bqvws3hsriY013njBY5+/XQ2YWYHQAgkRyAABAE7Jw3Q795pUftCpzV6isS6tk/f28URrRrVVwgQGICiQHAAA0Ac45vTEzXXe+t0C5BUWh8kP7t9ejZ41Q6+YJAUYHIFqQHAAA0MjtzC3Qbe/8qPfmrAuVmUnXHtFfVx3eVzExNCMC4CE5AACgEVuwbruuenW2VmRkh8raNE/QY2eP0MH92gcYGYBoRHIAAEAj5JzTy9+t0h8/+kl5JZoRjevVRo+fPVIdU5MCjA5AtCI5AACgkdm+O1+3vj1PH/+4IVRmJv3uF/109S/6Ko7ZjgGEQXIAAEAjMjd9m656bZbSt+wOlbVrkajHzh6hA/u2CzAyAA0ByQEAAI2Ac07PfrNCD0xepPzCPZOaHdS3nR45a4TapyQGGB2AhoLkAACABm5rdp5u/PdcffbTplBZjEnXHdlfvzmsr2IZjQhAFZEcAADQgM1YsUW/f3221m3PCZV1bJmkx88ZqXG92gQYGYCGiOQAAIAGqKCwSI9/vkRPTFmqoj2tiHTYgPZ6+MwRasOkZgBqgOQAAIAGJn3LLl3z+mzNWr0tVBYXY7rpmAG69KDeTGoGoMZIDgAAaEDem7NWt78zX1m5BaGynm2b6bGzR2p4t1bBBQagUSA5AACgAcjKyddd7y3Q27PXlio/fXRX3X3iELVI5F86gNrjnQQAgCg3e/VWXfP6HK3esitUlpIUp/tO2UcnDu8cYGQAGhuSAwAAolRhkdNTXy7Tw5/+rMISvY7H9GitR84aoW5tmgUYHYDGiOQAAIAotG7bbl07aY6mr9gSKosx6epf9tNVh/dVXGxMgNEBaKxIDgAAiDLvz12nO96dr+2780NlXVol67GzR2hMT+YuAFB3SA4AAIgS23fl6/b35uuDuetKlY8f3ll/OnmoUpPjA4oMQFNBcgAAQBT4eslm3fjmPG3YsWem4+YJsbrnpKE6bVQXmTF3AYC6R3IAAECAducV6oHJizTx25Wlysf1bKP/O3M4nY4B1CuSAwAAAjJvzTZdO2mOlm3ODpXFx5quP2qALju4t2KZ6RhAPSM5AACgnhUUFukfXyzT458vUUGJIUoHdkzRw2eO0ODOLQOMDkBTRnIAAEA9WpGRrWsnzdGc9G2hMjPp1wf31nVH9VdiXGxwwQFo8kgOAACoB845vTx9tf780U/anV8YKu/SKln/d+Zw7de7bYDRAYCH5AAAgDq2bttu3fL2j/rq582lyk8f3VV3jR+slCSGKAUQHUgOAACoI845vTEzXX/68Cdl5RaEyts0T9CfT9lHxwztGGB0ALA3kgMAAOrA+u27dctbP+rLMncLfjkwTX85bR+lpSQFFBkAhEdyAABABDnn9OYPa/THDxcqK2fP3YKUpDjdNX4IE5oBiGokBwAARMiG7Tm69e15mrK49N2Cwwe0119OHaaOqdwtABDdSA4AAKgl55zemrVW93ywoPTdgsQ43Tl+sE4f3ZW7BQAaBJIDAABqYeOOHN369o/636JNpcoP7d9e95+2jzqlJgcUGQBUH8kBAAA14JzT2/7dgh1l7hbcccJgnTGGuwUAGh6SAwAAqmnN1l36wzvz95q34OB+7fTAacPUuRV3CwA0TCQHAABUUWGR04vTVuqhTxZrV96eWY5bJMbp9uMH6ayx3bhbAKBBIzkAAKAKlmzM0k1vzdPs1dtKlR/av73+fOo+6sLdAgCNAMkBAAAVyCso0pNfLNMTU5Yov9CFyls3i9ed4wfr5BHMWwCg8SA5AAAgjNmrt+qWt37U4o1ZpcpPHN5Zd40frLYtEgOKDADqBskBAABl7Mor0P/992c9N3WF3J6bBeqUmqQ/nTxUvxzUIbjgAKAOkRwAAFDCN0sydOs785S+ZXep8vP3666bjxmolKT4gCIDgLpHcgAAgKTMnbm676Of9PbstaXKe7drrvtPG6ZxvdoEFBkA1B+SAwBAk1ZU5PTmD+n688eLtH13fqg8NsZ0xaG99btf9FNSfGyAEQJA/SE5AAA0WT9vzNJt7/yo71duLVW+T5dU3X/aPhrSOTWgyAAgGCQHAIAmJye/UH/73xL988vlKija0+O4RWKcbjiqv361f0/FxjA8KYCmh+QAANCkfPnzZt3x7nyt3rKrVPmxQzvqrvFD1DE1KaDIACB4JAcAgCZhU1aO/vjhT/pg7rpS5V1aJevek4YwPCkAiOQAANDIFRU5vTpjtR6YvEhZOQWh8tgY06UH9dI1R/RTswT+HQKARHIAAGjEflyzXXe8N19z0reVKh/RrZX+fMo+Gty5ZTCBAUCUIjkAADQ623bl6a//XaxXpq8uNcNxSlKcbj5moM4d110xdDgGgL2QHAAAGo3iOQsemLxYW7LzSq0bP7yz7jhhkNJS6HAMAOGQHAAAGoX5a7fr9nf3bkLUp31z3XvSUB3Yt10wgQFAA0JyAABo0MI1IWqWEKtrftlPFx3YSwlxMcEFCAANCMkBAKBBKipy+vcPa3T/5EV7NSE6YVgn3Xb8IHVKTQ4oOgBomEgOAAANzvy13ihEs1dvK1VOEyIAqB2SAwBAg5G5M1d//e9ivf59+l5NiK7+ZT9dTBMiAKgVkgMAQNTLKyjSi9NW6rHPl5SayEySjh/WSbfThAgAIoLkAAAQ1aYs3qQ/frhQyzdnlyrv07657jlxqA7qRxMiAIgUkgMAQFRatnmn/vThQk1ZvLlUecukOF17ZH+dv18PxcfShAgAIonkAAAQVXbk5Ovxz5Zo4rcrVVC0p2NBjEnnjOuu647sr7YtEgOMEAAar4gkB2Y2WtKRksZJ2ldSZ0m5zrkaTUNpZq0k3S3pFEkdJW2Q9K6ku5xz22odMAAg6hQWOb0xM11//WSxMssMTbpvrza6a/wQDe7cMqDoAKBpiNSdgzsknRSJA5lZW0nTJPWTtFxeUjBE0tWSjjOz/ZxzmZE4FwAgOsxYsUX3fLBAC9btKFXepVWybj9+kI4Z2lFmFlB0ANB0RCo5mCZprqTv/ceGWhzrEXmJwduSznLOFUiSmT0u6XeSHpZ0Ya2iBQBEhZUZ2br/P4s0eUHpfxvJ8bG68rA+uuyQ3kqKjw0oOgBoeiKSHDjnHii5XNNvd8yso6TzJOVLurI4MfDdKOlsSeeZ2U3OuY01DBcAELBtu/L0+OdL9dJ3K5Vf6EqtO3lEZ9187ECGJgWAAERbh+RjJcVImlL2w79zLtfMPpB0sb/dxPoPDwBQG7kFhXpp2io9/vkS7SgzX8Hwrqm6c/xgje7RJqDoAADRlhwM959nhVk/S15yMDzMegBAFHLO6eMfN+iByYu0esuuUuu6tErWTccM0PhhnRUTQ78CAAhStCUH3f3nNWHWrymzHQAgys1avVX3ffSTfli1tVR5SmKcrjy8ry46sCf9CgAgSkRbctDCf94VZn12me0qZWYLwqzqU9VjAACqL33LLt0/eZE+mre+VHlsjOm8fbvrml/2Y74CAIgy0ZYcFN9PdpWsBwBEqW278vSPL5Zp4tSVyissKrXuiEEddMuxA9U3rcrf8QAA6lG0JQdZ/nPzMOub+c87q3pA59yQ8sr9OwqDqx4aAKAiu/MKNfHblXryi6V7dTYe2qWl/nDcIB3Qp11A0QEAqiLakoPV/nPXMOu7ltkOABCwgsIivfnDGj362c/auCO31LqOLZN049EDdMrILnQ2BoAGINqSg7n+86gw64vL59VDLACACjjn9MmCDXrwk8Vavjm71LqUxDhdcVgfXXxgLyUn0NkYABqKaEsOJksqknSwmaU55zYVrzCzREnj/fX/CSg+AICk75Zn6v7/LNKc9G2lyhPiYnTh/j105WF91bp5QjDBAQBqLJDkwMyuknSVpHecc7cWlzvn1pvZa/JmSf6HmZ1dYpbkByW1l/Syc25DvQcNANDCdTv04CeL9MXizaXKY0w6dVRXXXtkf3VpxczGANBQRSQ5MLPjJd1RpjjBzL4rsfxH59xH/s/tJA2Q1Kmcw/1e0n6STpO0yMxmShoiaaikZZKujUTMAICqS9+ySw9/+rPenbNWrsx4ckcM6qCbjhmg/h1SggkOABAxkbpz0F7SvmXKrExZ+6ocyDmXYWZjJd0j6WRJp0jaKOkJSXc557bUOloAQJVs3JGjv09ZqtdmrFZ+YemsYEyP1rr52IEa27NNQNEBACLNXNmvgJoIM1swePDgwQsWhJsjDQCarsyduXrqy2V6cdoq5RaUnqugf4cWuvHogTpiUJrMGIEIAKLJkCFDtHDhwoXhhvOvTLR1SAYABGj7rnz96+vlem7qCu3KKyy1rnNqkq49sr9OHdVVsQxLCgCNEskBAEA7cwv0/Dcr9PTXy5VVZgKz9imJuurwvjp7XDclxjEsKQA0ZiQHANCE7c4r1EvfrdSTXyzT1l35pda1bhav3xzWR7/arydzFQBAE0FyAABNUG5BoV6fka4npizV5qzSsxqnJMXp1wf31kUH9VKLRP5NAEBTwrs+ADQheQVFenvWGj3++RKt255Tal2zhFhdfGAvXXZwb6U2iw8oQgBAkEgOAKAJyCso0r9/WKO/T1mqtdt2l1qXGBejC/bvoSsO7aO2LRIDihAAEA1IDgCgEcstKNQbM9foySlL97pTEB9rOmdcd/328L7q0DIpoAgBANGE5AAAGqGc/EK9MTNdT36xTOvLJAVxMabTR3fVbw/vq25tmgUUIQAgGpEcAEAjkpNfqNdnrNaTXy7Txh2lOxrHx5pOH91NVx7Wh6QAAFAukgMAaARy8gv16vTVeurLZdpUZvShhNgYnTm2q35zWF91aZUcUIQAgIaA5AAAGrDdeYV6ZfoqPfXlcmXs3DspOHtcN11xaB91JikAAFQByQEANEDbd+fr5e9W6blvVigzO6/UuoS4GJ07rruuOLSPOqbS0RgAUHUkBwDQgGTszNVz36zQS9NWKSu3oNS6xLgYnbuvlxQw+hAAoCZIDgCgAVizdZf+9dVyvf59unILikqtS4qP0Xn79tDlh/RWGkkBAKAWSA4AIIot3bRTT325TO/OXquCIldqXUpSnCYc0FMTDujJ5GUAgIggOQCAKDR/7Xb944ul+s/8DXKlcwK1a5GoSw7qpfP3666UpPhgAgQANEokBwAQJZxzmrFii/7+xTJ99fPmvdZ3aZWsKw7trTPGdFNSfGwAEQIAGjuSAwAIWGGR06cLN+ifXy3X7NXb9lrfN62Frjysj8YP76z42Jj6DxAA0GSQHABAQHLyC/XvH9boma+Xa2Xmrr3WD+uaqisP66ujBndQTIwFECEAoKkhOQCAerYlO08vTlupF6et0pYycxRI0n692+i3h/fVQX3byYykAABQf0gOAKCerMrM1jNfr9CbP6QrJ7/0cKQxJh27TyddfkhvDevaKpgAAQBNHskBANSxOenb9PRXyzR5/gaVGY1UyfGxOnNMV11yUG91b9ssmAABAPCRHABAHSgqcvri50166svlmrFiy17r2zZP0IUH9NSv9uuh1s0TAogQAIC9kRwAQATtzivUW7PW6PmpK7Rsc/Ze63u1a65LD+6l00Z1ZThSAEDUITkAgAhYv323Xpy2Sq9OX63tu/P3Wj+qeyv9+pA+OnJwB8Uy8hAAIEqRHABALcxevVXPTV2pj39cr8IyHQrMpCMGddDlh/TWmJ5tAooQAICqIzkAgGoqKCzS5AUb9Nw3KzSrnEnLmiXE6swx3TThgJ7q2a55/QcIAEANkRwAQBVt35Wv175frRe/Xal123P2Wt+lVbIuOrCnzhjTTanJ8QFECABA7ZAcAEAllm3eqYlTV+rfP6zR7vzCvdaP7dlalxzUS0cM6qC42JgAIgQAIDJIDgCgHIVFTv9btEkvTlupr5dk7LU+LsY0fnhnXXRgTyYtAwA0GiQHAFDCluw8Tfo+XS9/t0prt+3ea32b5gk6b9/uOn+/HurQMimACAEAqDskBwAgaW76Nr04bZU+mLdOeQVFe60f0CFFFx3YUyeP7ML8BACARovkAECTlZNfqI/mrdeL363S3PRte62PjTEdM6SjLti/h8b1aiMz5icAADRuJAcAmpw1W3fplemrNen7dG3JzttrffuURJ0zrrvOHdddHVNpOgQAaDpIDgA0CUVFTl8t2axXpq/W5z9tVJn5yiRJY3q01gUH9NQxQzoqIY5RhwAATQ/JAYBGbVNWjt6cuUavzVitNVv37mCcFB+jk0d00a/276EhnVMDiBAAgOhBcgCg0Skqcpq6LEOvTl+tTxduVEE5twl6tG2mX+3XQ2eM7qbUZkxYBgCARHIAoBHJ2JmrN2eu0evfr9aqzF17rY8x6RcDO+i8/brr0H7tFRNDB2MAAEoiOQDQoDnnNG1Zpl6ZsVr/XbBB+YV73yXolJqks8Z201lju6lTanIAUQIA0DCQHABokLZk5+nfP6TrtRnpWpGRvdd6M+nwAWk6d1x3HTagveJi6WAMAEBlSA4ANBiFRU5Tl2Zo0sx0fbpgo/IK956srEPLRJ01ppvOGtddXVpxlwAAgOogOQAQ9dK37NKbP6zRv2ema932nL3Wm0mH9Guvc/ftrl8OTOMuAQAANURyACAq5eQX6pMFG/TGzHRNXZpZ7jbtWiTqrLFddfbY7urWplk9RwgAQONDcgAgqsxfu11vzEzXu7PXakdOwV7rY2NMhw9I05ljuurwgWmK5y4BAAARQ3IAIHDbduXpvTnrNOn7dC1cv6PcbXq3a64zx3bTqSO7KK1lUj1HCABA00ByACAQBYVF+mZpht6atVafLNigvIK9Oxc3S4jV8ft00llju2l0j9YyY14CAADqEskBgHq1aMMOvfXDGr07Z502Z+WWu82o7q101thuOn5YZ7VI5G0KAID6wn9dAHVuc1au3puzVm/PWhu22VC7Fgk6dVRXnTmmq/qmpdRzhAAAQCI5AFBHcvIL9dlPG/X2rLX68ufNKizae+bi+FjTLwam6dRRXfULOhcDABA4kgMAEeOc08xVW/X2rDX6cN56ZZUz2pAkDe/WSqeP6qIThnVW6+YJ9RwlAAAIh+QAQK2tyszWO7O9ZkOrt+wqd5vOqUk6ZVQXnTKyq/qmtajnCAEAQFWQHACokU1ZOfpo3nq9N2ed5qRvK3ebZgmxOnZoJ502qov2691WMTGMNgQAQDQjOQBQZTty8jV5/ga9P2edvl2WoXK6EchMOrBPO502uouOHtJRzRJ4mwEAoKHgvzaACuXkF+qLxZv03px1+nzRpnLnI5CkfmktdOqorjp5ZGd1Sk2u5ygBAEAkkBwA2EthkdO0ZZl6b85aTZ6/QVm55Xcs7tIqWeOHd9ZJIzprYMcUJikDAKCBIzkAIMkbaWjumu16b85afTB3vTJ2lj9BWetm8Tp+WCedNKKLRndvTT8CAAAaEZIDoAlzzmn+2h368Md1+mjeeq3Zurvc7ZolxOqowR100oguOqhfO+YjAACgkSI5AJoY55wWrNuhj35cr4/mrQ879GhcjOmwAe114oguOmJQGh2LAQBoAvhvDzQBzjktXL9DH81br49+XK9VmeUnBGbS2J5tdPKILjp2aEcmKAMAoIkhOQAaKeecFm3ICiUEKzKyw247tmdrHb9PJx27Tyd1aJlUj1ECAIBoQnIANCLOOS3emKWP563Xhz+u1/LN4ROC0T28hOC4fTqpYyoJAQAAIDkAGryiIqe5a7Zp8oIN+u+CjRXeIRjVvZWOH9ZZxw7tqM6tmIsAAACURnIANEAFhUWasXKLPpm/QZ8s2KgNO3LCbjuiWyudMMxrMtSFhAAAAFSA5ABoIHILCjV1aYYmz9+gTxdu1NZd+WG3Hd41VccP66Rjh3ZStzbN6jFKAADQkJEcAFEsO7dAXyzerMkLNmjKok3aGWam4hiTxvVqo2OGdNRRQ2gyBAAAaobkAIgyW7Lz9L9FmzR5/gZ9tWSz8gqKyt0uPtZ0UN92OmZoRx0xqIPatkis50gBAEBjQ3IARIHlm3fqs5826rOFmzRz1RYVufK3S46P1WED2uuYoR11+MA0tUyKr99AAQBAo0ZyAASgsMhp1uqt+mzhRn3608YKhxxtmRSnIwZ10NFDO+qQfu2VnBBbj5ECAICmhOQAqCfZuQX6ekmGPvtpo/63aJO2ZOeF3TYtJVFHDO6gY4Z01H692yohLqYeIwUAAE0VyQFQhzbuyPGbC23U1GWZYfsPSNKgTi115KA0HTG4g4Z2TlVMjNVjpAAAACQHQEQVFTktXL9D/1u0SZ/9tFHz1mwPu21cjGm/3m115OAO+uWgNHVtzZCjAAAgWBFLDswsSdKtks6R1F3SFkmTJd3pnFtTjeOslNSjgk0GOecW1SJUIKJ25OTrmyUZmrJok774ebM2Z+WG3bZlUpwOH5imIwZ10KED2tOhGAAARJWIJAd+YvC5pAMkrZf0nqSeki6SdIKZ7e+cW1bNw74Qpjz8V7FAPXDOacmmnZqyaJOmLN6kmSu3qiDc8EKSurVJ1pGDOuqIwWka27ON4mPpPwAAAKJTpO4c/EFeYjBN0lHOuZ2SZGbXSfo/Sc9JOrQ6B3TOTYhQbECt7c4r1LfLMjRl8SZNWbRZa7ftDrttjEmjurfW4QPTdOTgDuqX1kJm9B8AAADRr9bJgZnFS/qdv/jb4sRAkpxzD5vZhZIOMbPRzrkfans+oL6sysz27w5s1rTlFXcmbtM8QYf1b6/DBqbpkH7t1KpZQj1GCgAAEBmRuHNwkKRWkpY552aXs/7fkoZJGi+J5ABRKzu3QN8tz9RXP2/WV0sytCIj/NwDkjSsa6oOG5Cmwwe017CurRTL6EIAAKCBi0RyMNx/nhVm/awy21WJmd0oqY+kXEkLJL3jnNtcowiBchSPLPTlz5v19ZLN+mHVVuUXhu87kJIYp0P6t9dhA9rr0AHtlZaSVI/RAgAA1L1IJAfd/edwIxKtKbNdVT1YZvkRM7vaOfdsNY8DhGzakaOvl2ToqyWb9c2SDGVWMBGZJA3okKLDBrbX4QPSNLpHazoTAwCARi0SyUEL/3lXmPXZZbarzPuSpshrgrRZUm9JF0u6RtIzZpbpnHu3qsGZ2YIwq/pU9RhouHLyCzVz5VZ9tWSzvvp5sxZtyKpw+5ZJcTqoXzsd0q+9Du7fXl1aJddTpAAAAMGLRHJQ3NA6XHuMajXEds5dXaZogaTrzWyxpH9KekDSu9U5JpoO55wWb8zSN0sy9PWSDE1fkamc/PAdiWNjTCO6tfKTgXYaTt8BAADQhEUiOSj+KrZ5mPXF077uDLO+qp6R9EdJ/c2sl3NuRVV2cs4NKa/cv6MwuJYxIQqkb9mlqUszNHVZpqYty1DGzoqbCnVplaxD+rfXof3baf8+7ZSazERkAAAAUmSSg9X+c9cw67uW2a5GnHNFZrZMUpqkTpKqlByg8cnYmatvl2Xq26UZmrosQ+lbws85IEnNEmK1f++2OqR/ex3cr516tWvOvAMAAADliERyMNd/HhVmfXH5vAicq7X/XNu7EGhAsnLyNWPFFk1dmqlvl2VU2m/ATNqnS6oO7Ov1HRjdo7US4uhIDAAAUJlIJAdTJW2X1MfMRpYz18Hp/vOHtTmJmQ2RNEBex+dFtTkWoltuQaFmrdqmb5dlaOrSDM1ds12FReGHGJWkPu2b68C+7XRAn3bav3dbpTajqRAAAEB11To5cM7lmdkTkm6T9ISZHeWcy5YkM7tO3gRo3zjnvi/ex8yuknSVvLkLbi1RfrSkjLIzKZvZMEmvy+vc/IxzruJG5WhQcvILNXv1Nk1fkanvlmdq9uptyq1gNmJJ6pSapAP6tNOBfdvqgD7t1DGVOQcAAABqKxJ3DiTpT5KOkHSApCVm9rWkHpL2lZQp6aIy27eTdxegU5ny/SXdZWarJC2TN5RpL3lNk+IkfSnpVqFBy8kv1KzVW/Xd8i2avjxTs9O3Ka+SZCA1OV4H9GmrA/q204F92tJvAAAAoA5EJDlwzuWY2eHyPrifK+lkSVslvSDpDudcehUP9YmkbpLGyptROVXSDknfSHpF0vPOucJIxIz6szuvOBnI1PTlWzQnfZvyCitOBpLiYzS2Zxsd2LedDuzTToM7t2SIUQAAgDoWqTsHcs7tlnSn/6hs27sl3V1O+TRJ0yIVE4KxK69AP6zakwzMXbNN+YUV9xlIjo/VmJ6ttV/vttq3VxsN69qKTsQAAAD1LGLJAZquLdl5+mHVVs1cuUUzVm7Rj2u2q6CSDsTNEmI1pmcb7de7jfbt1VbDuqYqPpZkAAAAIEgkB6gW55zSt+zW9yu3aOaqLfp+5VYt3VT5yLLNE2I1tleb0J2BoV1IBgAAAKINyQEqVFjk9NP6HZq5cou+9+8ObNyRW+l+KYlxGturjfb1E4IhnVsqjmQAAAAgqpEcoJTdeYWak74t1ERo9upt2plbUOl+7VokamzP1hrTs43G9mytIZ1T6UAMAADQwJAcNHHrt+/WrFXbNHv1Vs1ctVXz11beX0CSerdvrrE92mhMz9Ya27ONerRtxtCiAAAADRzJQROSW1Co+Wt3aPbqrZq9eptmrd6q9dtzKt0vLsY0pEuqxvbw7gyM6dla7Vok1kPEAAAAqE8kB43Yum27NatEIrBg7Y5K5xeQvM7Do3p4dwTG9GytEd1aqVkCVQUAAKCx4xNfI5GTX6gF67Z7TYTSt2rWqm3asKPyuwKS1KVVskb1aK1R3VtpbM82Gtgxhc7DAAAATRDJQQPknNOqzF2au2ab5qZv9+4KrNte6URjkpQYF6NhXVM1qntrjezuJQRpLZPqIWoAAABEO5KDBmBTVo7mpm/XvDXbNCd9m+at2a7tu/OrtG+3Nska2c1LAkb1aK1BnVoyvwAAAADKRXIQZbJy8vXjmu2au2a75qZv09w126rUaViSkuJjNKxLK43s0cq/M9BKaSncFQAAAEDVkBwEKLegUD+tzwrdEZibvk3LM7LlKm8dJMkbTnRE11Ya3s1LBgZ2SuGuAAAAAGqM5KCeLdqwQ698t1pz12zTT+t3VKmfgCR1bJmk4d1SNaxrK43o1kpDu6QqNTm+jqMFAABAU0JyUM+2ZOfppe9WVbhNy6Q4De/WSsO6pmq4f2egA52GAQAAUMdIDurZPl1SZaZQ06GEuBgN7dwydEdgWNdU9WzbXDExzDYMAACA+kVyUM9SkuL1m0P7qEvrZA3v2koDOtJPAAAAANGB5CAANx0zMOgQAAAAgL3wlTUAAAAASSQHAAAAAHwkBwAAAAAkkRwAAAAA8JEcAAAAAJBEcgAAAADAR3IAAAAAQBLJAQAAAAAfyQEAAAAASSQHAAAAAHwkBwAAAAAkkRwAAAAA8JEcAAAAAJBEcgAAAADAR3IAAAAAQBLJAQAAAACfOeeCjiEQZrYjMTExpU+fPkGHAgAAAETEsmXLlJubm+Wca1mT/ZtycrBBUjNJ6QGcvjgjWRbAuRsDrl/Nce1qjmtXc1y72uH61RzXrua4drUT5PXrJmmXc65jTXZusslBkMxsgSQ554YEHUtDxPWrOa5dzXHtao5rVztcv5rj2tUc1652GvL1o88BAAAAAEkkBwAAAAB8JAcAAAAAJJEcAAAAAPCRHAAAAACQxGhFAAAAAHzcOQAAAAAgieQAAAAAgI/kAAAAAIAkkgMAAAAAPpIDAAAAAJJIDgAAAAD4SA4AAAAASCI5iAgza25mvzKzv5nZDDPLNTNnZrfU8rgnmNmXZrbdzHb4P59QyT6DzOxNM9tsZrvN7Eczu9bMovp3bWYHmNnHZrbFzHb61/HCGhxnpX/tK3osL7NPz0q23xC5Vxp5Ebx2Eyq5Dq9XsG9Tr3ejzexuM/vazNb57wHpZvaymQ0Ls0/U1zszSzKze8zsZzPL8V/bc2bWtQbHamVmj5rZKv/6rDKzx8ysVQX7xJjZ7/36tNuvX2+a2eBavbB6EIlr51+zc83sVTNbaGbZZpZlZtPN7Boziw+z38RK6tYVkXulkRepeleF/wcDw+zX1OtdZf8Lih8XlNmvode70WZ2i5m9bWZr/ZhzanG8BvueF1efJ2vE+kl6MZIHNLOrJT0mqUDSZ5JyJR0l6QMzu8Y593g5++wn6XNJzSTNkLRS0iGSHpZ0oJmd4aJw1jszO0XSm/KS1a8kZUj6paSJZjbcOXddNQ73b0ntwqw7VFJPSV+HWb9R0uRyyrdX4/z1KsLXrthcSXPKKZ8eJoYmXe/MLE7STH8xQ9412CVppKTzJJ1pZuc65/4d5hBRWe/MLEne7/UASeslvSfv7+ciSSeY2f7OuWVVPFZbSdPkvVcul/SupCGSrpZ0nJnt55zLLLOPSZok6XRJ2yR9JO9v+zRJx5vZ4c65cutk0CJ47W6QdJukIkmzJX0gqb2kAyWNk3S6mR3tnNsVZv9PJJWXZC6u+qupX5GsdyW8EKZ8r78x6p0kaanCX7NUSSf7P38TZpsGV+98d0g6KRIHavDvec45HrV8SOoj6RlJv5b3geBPkpykW2p4vP6S8iXlSNq/THmGv65fmX3i5P1BO0nXlihvIelbv/yioK9VOa+1tbw/Aifp1BLlHSQt8csPj8B5YiSt9Y93RJl1Pf3yL4K+HkFeO0kT/H3ursY+Tb7e+dfgO0nHS4opU+eK3wt2SGrXkOqdpHv9+L6V1KJE+XV++ZfVONaL/j5vSYorUf64X/5COftc7K/7WVKHEuWn+eVLSx4rmh6RunaSbpF0n6QuZcr7SVrlH+vP5ew30V93WNDXIuB6t1KSq+b5m3y9q+Qcv/GP9U056xpsvfPjv1nSPZJO8P8XOEk5NTxWg37PC/yX0Rgfku5W7ZKDv/v7P1rOumv9dX8rU36GXz6nnH1G+ut+DPralBPbjX5s75az7hR/3QcROM+R/rHWqsQHOH9dT0Xxh7T6unaqWXJAvav4PCbpJ/94F5ZZF7X1TlK8pK1+fCPLWT/XXze6CsfqKKlQUl7Jf3j+ukRJm+TdIS27boF/jpPLOeZ7/rrTgr5WdXntKjnPOf5xVpSzbqIa4Ie0SF871Sw5oN5VfJ6p/nEuL2ddg6x3FbzWGiUHjeE9L6rbAzdhxf0KymuG8Kb/PL6q+zjnZsu7rTXUzHpGIsAIqui1fiTv7skR/u3S2jjff37FOVdUy2NFi/q6djWKgXrnfyqRfvQXO9fmWPXsIEmtJC3zf49lFV+3su9D5TlWftMt59zGkiucc7nymsrE+ttJksysl6TBknbL+33U5vz1LZLXriJz/eeGVK8qU1/XrlzUu4r51+cAeR9636jpcZqABv+eR5+DKON3VOnuL+71B+6cW2NmGZJ6mFmqc664zeRw/3lWmEPPktTb325lxAKuveLOmnvF7ZzLM7P5ksZIGqA9/wyrxcyS5X0bLEkvV7BpBzO7R1IneW1Rp0t63zmXV5Pz1oO6unajzewhSS3ltRv9n3PuyzDbUu8q19t/DtfBOBrrXVV+ryW3q+2xLi5zrOKf5zvn8mt5/voWyWtXkcrqlSSdamanyfsgskLe3bBFtTxvXaqTa2dmN8pr/psr79vZd5xzmys4P/WufMVfsn3knNtawXYNrd5FWoN/zyM5iD7FicFW51x2mG3WyOuk0l17vpXsXmJduH1Kbhc4M2sp75sOqeK4x8iLu6Yf0k6WlCJpnnNuXgXbDZR0Z5my1WZ2pouyDmh1fO1O0J5v1iXpTjP7UtJZZb8FEfWusnMdJGm0vG/ayut0LEVnvYvk77Umx2pw9aqE+or9Gv/5vQq2+V2Z5QfM7ElJ1zjnCmp5/rpQV9fuwTLLj5jZ1c65Z+vp/PWhPmI/z39+qZLtGlq9i7QG/55Hs6Lo08J/Djf6hCQVJw0tSpRVtl95+wStZCx1Gfev/Odwb2i5kp6UdJi8TkipkvaX9LG8P8TJUdgspi6u3Xp5/WVGyrsGHSWdKGmRvJGePjKz2DBxUO/K8JOQ5/zFR5xz68tsEs31LpK/15ocqyHWq2J1Hrs/JOQR8jrV31/OJrMlXSFvEItm8u4y/Nbf/kpJD9X03HUs0tfufUmnSuoh7zoMlTeKWqKkZ8zs5Do+f32q09jNbJy8O6lbVX6zF6nh1rtIa/Dvedw5kGRm/5b3plEdFzjnZtRFOP6zq8I25Qm3X0X71Fgtr11VYqpV3GbWXl5n5CJJr5a3jf+h7coyxd/JGzrsFUnnSvqDvNGoIibarp1z7hN5Q9AV2yFv6Nwpkn6Q9w34WSr/OlLvSu7sJVGvyhtVZob2vjMQWL2rosreh6pzfWpyrKq8D0arSF67vXc2O1TeMNdO0sXOuXVlt3HOPVamaIWkf5jZV/L+ln9nZg8759JrE0sdiOi1c85dXaZogaTrzWyxpH9KekDeEJNVPX80q9N6pz1NiiaFa/LYgOtdpDX49zySA09PeRlxdTSrgzgkKct/bl6Fc+8sUbZT3vCM4fYrb59I6KmaX7usMmU7Kti2pnGfI6+ef1reP9Eq+LO8D2lH1/D8Femp6L52kiTn3E4ze1zSE/KuQ8nkgHpXvqflDW26WNLxNeg/UJf1rioqex+qzvWpybEq26e4PNL1KhIiee1KMW9CvXclJUi62jn3TnX2d87NN7P35Y2jfoSk56sbQx2rs2tXxjOS/iipv5n1cs6tqOL5m2q9i5P3xZBUeZOivTSAehdpDf49j+RAknNuTNAxlLDaf25tZs3D9DvoWmbb4p9b++vKa1df3j61Vptr55zbYWbb5TWn6CppYTmb1Tbu4m87KuqIXJEl/nOnGu4fVgO4diWFuw7UuzL8ztwXS0qXdKRzLqMGYdZZvaui4tcdblbV6lyfmhwrkuevb3USu5n1kXdnr5W84Yb/VqPogq9bFamX37tzrsjMlklKk3cdipMD6l35jpJ3rZY7576twf5SdNe7SGvw73n0OYgyzrlt2vPLH1l2vXlToLeTtLrESEXSnk6To8Icuri8og65QQgbt5nFy2s6kqsazKxoZv0ljZXXhu/tGsbX2n+Oxm+K6uzalSPcdaDeld73Vnmz2m6SlxjU9PZ50PUukr/XmhyreJ+h/u+jNuevbxH/mzCzzpI+ldcP6DHn3D01Dy/wulWR+nw/Ke86UO/KV9sv2aTorneR1uDf80gOolNxZ5/Ty1l3hv/8YVX3MbOR8joGLSxx+zRaVPRaT5CUJOlz51xODY5d/Ib2jnOupm9Ip/nPP9Rw/7pUl9eurHDXgXrnM7Nfy2sOtE3S0c652iRlQde7qfKGVe3j/x7LKr5uZd+HyjNZXp+fg80sreQKM0uUN253kaT/FJf79eUnScnymmfV5vz1LZLXTmbWWt4dg17ymmNcW9PA/OtdfD2j8T0totcuHDMbIq9Z4i55Ay5Iot6Vx8xaSDrJX6xRctAA6l2kNfz3vPqYaa2pPVTFGZLlvSktktSlTPkAebPn5Ujar0R5P0kZ/roBZfaJlzfhlJN0bYny5vKmUneSLgn62pRzDdrIe0Nzkk4tUZ4m7zakk/TLql67Mtss8/c/upIYLpDUtZzyU+W1R3eSTgn6WtX1tZN0taQW5dSru/xj7SpnH+qdV366vBkxsyTtX8UYorreSfqTH8NUSc1LlF/nl39dZvur/Gvzl3KO9bK/z78lxZUoL+5Y+1I5+1zqr/tZUlqZ6+P8ehcfdF2qy2snr23yNH+fSZJiq3DuAfI+zMWWKW8v6R3/WHMkWdDXqY6v3dEqZzZgeXOcLPSP9Rj1rvy/2RLbXODvO60x17swr8mpghmSG/N7XuAXv7E8/Mr/nf9Y4/8iV5coe6ecfZz/6FnOumv9dfnyhjZ8V96Hs1Ifwsrsc0CJbb7z/5ms85ffkRQT9HUKE/dp8j5YFUmaIm8W6K3h3rwru3YlroWTNzxnhf9QJX3hn3+BvG+U35KXwRef48Ggr1F9XDvtSQBm+tfgI0lr/fLdKvEhmnq359rJSyhy/fJ5kiaGeZzckOqdvLsn3/mxrPN/r8XLGZL6ltn+bn/dxHKO1U7SUn/9Ukmvy5ujpXi5XTn7xMhrDugkbfF/P1P839duSQcEXYfq+tpJesQvL5D0Sri6VWafw0qc5xv/3FO0J+FMl9Q/6GtUD9euuHylpM/9Ojdd3v9U5//9NaPelf83W2Kb//rbXFnJuRt0vfNfw/Ha85mt+LoVlSk7virXTw38PS/wX0ZjefhvQK6Cx8py9qnsA+54SV/J+zYyS9LXkk6sJI4h8jLVDHl3HhZIul5V+MYp4Ot3oLxbbFvljec7U9JFFWxf2bX7h7/+4Sqc+zz/j3CJvG+T8+R9KH5L0hFBX5v6unaS7vH/EayW92F/t39NnlKZO1XUu1LJQc9K/vaLH3c3tHon7xb3vfL+meXKm413oqRu5Wx7tyr4oCGvzfHjfv3K9Z//JqlNBeePlfet53y/Pmb412dI0NemPq6dv32ldavMPp3lJRXT5H05kifv/8cP/nlaB31t6una7S/pWXkJe4a8pCBT3oetSyt6b2rq9a7E+o7yEtM8SW0rOW9jqHcTqvD3NqEa16/BvueZHwwAAACAJo4OyQAAAAAkkRwAAAAA8JEcAAAAAJBEcgAAAADAR3IAAAAAQBLJAQAAAAAfyQEAAAAASSQHAAAAAHwkBwAAAAAkkRwAAAAA8JEcAAAAAJBEcgAAAADAR3IAAAAAQBLJAQAAAAAfyQEAAAAASSQHAAAAAHwkBwAAAAAkkRwAAAAA8P0/i0fVQ/QPZWsAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def problem1():\n",
    "    print(\"问题 1：拉格朗日插值多项式的次数 n 越大越好吗？\")\n",
    "\n",
    "    def sub(targets_x, targets_n, solve):\n",
    "        return DataFrame({n: {x: solve(n, x) for x in targets_x} for n in targets_n}).round(4)\n",
    "\n",
    "    print(\"(1) 考虑 f(x) = 1 / (1 + x^2) in [-5, 5]\")\n",
    "    targets_x_1 = [0.75, 1.75, 2.75, 3.75, 4.75]\n",
    "    targets_n = [5, 10, 20]\n",
    "    print(sub(\n",
    "        targets_x=targets_x_1,\n",
    "        targets_n=targets_n,\n",
    "        solve=lambda n_i, x: P(\n",
    "            lambda x_i: 1 / (1 + x_i ** 2), linspace(5, n_i), x\n",
    "        )\n",
    "    ))\n",
    "    print(\"差值：\")\n",
    "    print(sub(\n",
    "        targets_x=targets_x_1,\n",
    "        targets_n=targets_n,\n",
    "        solve=lambda n_i, x: ((1 / (1 + x ** 2)) - P(\n",
    "            lambda x_i: 1 / (1 + x_i ** 2), linspace(5, n_i), x\n",
    "        ))\n",
    "    ))\n",
    "\n",
    "    print(\"(2) 考虑 f(x) = e^x in [-1, 1]\")\n",
    "    targets_x_2 = [-0.95, -0.05, 0.05, 0.95]\n",
    "    print(sub(\n",
    "        targets_x=targets_x_2,\n",
    "        targets_n=targets_n,\n",
    "        solve=lambda n_i, x: P(lambda x_i: np.e ** x_i,\n",
    "                               linspace(5, n_i), x)\n",
    "    ))\n",
    "    print(\"差值：\")\n",
    "    print(sub(\n",
    "        targets_x=targets_x_2,\n",
    "        targets_n=targets_n,\n",
    "        solve=lambda n_i, x: (np.e ** x - P(lambda x_i: np.e ** x_i,\n",
    "                                            linspace(5, n_i), x))\n",
    "    ))\n",
    "    print(\"画出两个函数以及其拉格朗日多项式的图像：\")\n",
    "    slice_fluent_size = 1000\n",
    "    x_linespace_2 = np.linspace(-1, 1, slice_fluent_size)\n",
    "    x_linespace_10 = np.linspace(-5, 5, slice_fluent_size)\n",
    "    y1 = 1 / (1 + x_linespace_10**2)\n",
    "    Ls1 = {n_i: np.array([P(lambda x_i: 1 / (1 + x_i**2), linspace(5, n_i), x)\n",
    "                        for x in x_linespace_10]) for n_i in targets_n}\n",
    "    plt.figure(dpi=150)\n",
    "    plt.title(\"(1) Consider $f(x) = 1 / (1 + x^2)$\")\n",
    "    plt.legend(handles=plt.plot(x_linespace_10, y1, label=\"$f(x) = 1 / (1 + x^2)$\"), loc='best')\n",
    "    plt.figure(dpi=150)\n",
    "    plt.title(\"(1) Consider $f(x) = 1 / (1 + x^2)$, select n\")\n",
    "    plt.legend(handles=[plt.plot(x_linespace_10, y1, label=\"$f(x) = 1 / (1 + x^2)$\")[0],\n",
    "                        *[plt.plot(x_linespace_10, Ls1[n_i], label=f\"$P_n(x),n={n_i}$\")[0] for n_i in Ls1]], loc='best')\n",
    "    y2 = np.exp(x_linespace_2)\n",
    "    Ls2 = {n_i: np.array([P(lambda x_i: np.exp(x_i), linspace(5, n_i), x)\n",
    "                        for x in x_linespace_2]) for n_i in targets_n}\n",
    "    plt.figure(dpi=150)\n",
    "    plt.title(\"(2) Consider $f(x) = e^x$\")\n",
    "    plt.legend(handles=plt.plot(x_linespace_2, y2, label=\"$f(x) = e^x$\"), loc='best')\n",
    "    plt.figure(dpi=150)\n",
    "    plt.title(\"(2) Consider $f(x) = e^x$, select n\")\n",
    "    plt.legend(handles=[plt.plot(x_linespace_2, y2, label=\"$f(x) = e^x$\")[0],\n",
    "                        *[plt.plot(x_linespace_2, Ls2[n_i], label=f\"$P_n(x),n={n_i}$\")[0] for n_i in Ls2]], loc='best')\n",
    "    \n",
    "\n",
    "\n",
    "problem1()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 问题二"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "问题 2：插值区间越小越好吗？\n",
      "(1) 考虑 f(x) = 1 / (1 + x^2) in [-1, 1]\n",
      "           5       10      20\n",
      "-0.95  0.5171  0.5264  0.5256\n",
      "-0.05  0.9928  0.9975  0.9975\n",
      " 0.05  0.9928  0.9975  0.9975\n",
      " 0.95  0.5171  0.5264  0.5256\n",
      "差值：\n",
      "           5       10   20\n",
      "-0.95  0.0085 -0.0008  0.0\n",
      "-0.05  0.0047 -0.0000 -0.0\n",
      " 0.05  0.0047 -0.0000 -0.0\n",
      " 0.95  0.0085 -0.0008  0.0\n",
      "(2) 考虑 f(x) = e^x in [-5, 5]\n",
      "            5         10        20\n",
      "0.75    2.3740    2.1171    2.1170\n",
      "1.75    4.8716    5.7544    5.7546\n",
      "2.75   15.0081   15.6432   15.6426\n",
      "3.75   45.8623   42.5184   42.5211\n",
      "4.75  119.6210  115.6074  115.5843\n",
      "差值：\n",
      "          5       10   20\n",
      "0.75 -0.2570 -0.0001 -0.0\n",
      "1.75  0.8830  0.0002 -0.0\n",
      "2.75  0.6346 -0.0006 -0.0\n",
      "3.75 -3.3412  0.0027 -0.0\n",
      "4.75 -4.0367 -0.0231 -0.0\n",
      "画出两个函数以及其拉格朗日多项式的图像：\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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3v9jdmzqcf6WC4PGggsm1hir48v60pI9KOtXd0w2p2hPflvT/JD0kaYWCv5oPVdCh+YnwdU9099qUV+jA3Vvd/VIFf1n+u4KfbYGC0PQpSRd34RpPKGgnf62Cn9tuBTMotyroR3C3gi/SXZm4rycOUhCoXJ1/2d3rc2pm8xWEnQJJN6cZySvWt+HdZnZesgMy+RntC+EdvqMV1PamgoBcomDY3ecU3EU7zN3/GlWNAPqOdX1IbgDoG+HMzm8oGPbyBHd/rpNTevIa1ysYweYed/9opq+Pga+vP6d8RgFkM0IDgKxgZh9S0CTj/9z9rAxfu0xB84lySbPd/Z1MXh+DR199TvmMAsh2NE8CkC1+J2mhpDPN7KjODu6mzynof/BDvoyhl/rqc8pnFEBWK4i6AACQglFmzOwKSeerbZz6TKlV0N76tgxfF4NMH35O+YwCyGo0TwIAAACQFs2TAAAAAKRFaAAAAACQFqEBAAAAQFqEBgAAAABpERoAAAAApEVoAAAAAJAW8zR0YGabJQ2RtC7qWgAAAIAMmiKpzt3Hd/dE5mnowMyqiouLy2fOnBl1KQAAAEDGrFmzRg0NDdXuXtHdc7nTsLd1M2fOPGDZsmVR1wEAAABkzIEHHqjly5f3qDUNfRoAAAAApEVoAAAAAJAWoQEAAABAWoQGAAAAAGkRGgAAAACkRWgAAAAAkBahAQAAAEBazNOQQe4uJstDXzMzmVnUZQAAgEGE0NBLLS0tqqysVHV1tRobG6MuB4NEUVGRysvLNWrUKOXn50ddDgAAGOAIDb3Q0tKitWvXqr6+PupSMMg0NjaqsrJStbW1mjp1KsEBAAD0KUJDL1RWVqq+vl75+fkaN26cysrKlJdHNxH0rdbWVtXW1mrLli2qr69XZWWlxo4dG3VZAABgACM09EJ1dbUkady4cRo2bFjE1WCwyMvLi3/eNm7cqOrqakIDAADoU/xZvIfcPd6HoaysLOJqMBjFPneNjY10wAcAAH2K0NBDiV/SaJKEKCR+7ggNAACgL/FtFwAAAEBahAYAAAAAaREaAAAAAKTF6EkAAABAH1u+sUo/fGqV9h07VAdMrNBZB0+IuqRuITQAAAAAfWzZxt16fNlmaZk0b/KwnAsNNE9Cn2ltbdUtt9yiuXPnasiQITIzzZw5U5L0zW9+U/n5+Vq+fHmPr79p0yaVlpbqs5/9bKZK7ldPPPGEzEwvvvhifNuf/vQnlZaW6pFHHomwMgAAkGlrttXGn88cMzTCSnqG0IA+c9111+mrX/2qKisrde655+qyyy7TZz7zGW3ZskXf//739f73v18HHHBAj68/YcIEffKTn9Sdd96plStXZrDy/nHqqafq9NNP17XXXitJevbZZ/WhD31Id911l84555yIqwMAAJm0ZltN/PnMsbkXGmiehD6xZ88e/fCHP9TIkSP16quvauTIkfF9X/jCF1RTUxP/stwbV199tX70ox/p+uuv17333tvr6/W3733vezrkkEP03e9+VzfffLNuueUWXXLJJVGXBQAAMmzN1oTQwJ0GIPC3v/1NtbW1eu9739suMNTV1ekXv/iF5s6dq3nz5vX6dSZNmqSTTjpJDz30kLZs2dLr6/W3gw8+WB/84Af1ta99TVdddVXONrUCAACpNTa36p0ddfH1fceWRVhNzxAakFFPP/20zEynnHKKJGnBggUyM5mZvvGNb+j+++/X7t27U/41/eKLL5aZ6Tvf+c5e+1544QWVlJRo7NixWrNmTbtzmpqatGDBgj55T93x2muv6eMf/7imT5+u4uJijRs3Tpdddpk2bNiQ9PglS5boscceU2FhocaMGdPP1QIAgP6wdketWlpdkpSfZ5o6ktCAQa6goECXXXaZpk2bJkk655xzdNlll+myyy7T6aefHu/ge+KJJyY9/1vf+pYKCgr0X//1X6qqqopvX7lypc477zzl5+fr0UcfjXeoTrzWo48+2jdvqot+/OMf69BDD9U999yjCRMm6L3vfa8qKir0y1/+UvPnz9f27dvbHb969Wqdfvrp+sxnPqNrr71WN9xwg2pqalJcHQAA5KrVW9s6QU8bOURFBbn3FTz3KkZWO+6447RgwYJ4k6Rf/OIXWrBggRYsWKBjjjlGL7zwgoqKilI2Tdp33311+eWXa+fOnbr99tslSVu2bNGZZ56p3bt367777tO73vWudufMmDFDo0eP1sKFC9XQ0JC2vhNPPDF+56Orj2eeeabT9/3QQw/p85//vGbMmKFFixbpb3/7m+6//36tWLFCH/vYx7Ru3Tp973vfix+/YcMGnXrqqTr//PP1ne98R1dddZVaWlraHQMAAAaGXO8ELdERGn2gublZy5cv15QpU9r1Z9i6das2b96sWbNmqbi4OOX5119/vX71q1/p1ltv1cc+9jGdd955euutt/Szn/1MZ599dtJzZs+erRdffFErV67U3LlzU177jDPO0D777NOt9zN+/Pi0+2tqavSpT31K5eXlevzxxzV9+vT4vvz8fN1yyy26++679eSTT0qSKisrddppp+mII47QT37yE0lSeXm5vva1r+m6667Tpz71KU2YkFtjNwMAgNRyvRO0RGjoM+6uqvrmqMvotoqSAplZr66xfPlyNTQ06JBDDmm3fevWrZKkESNGpD1/8uTJ+vSnP60f/OAHmjdvnrZv365vfOMb+vjHP57ynFg42bZtW9prX3PNNV14B91z5513auvWrfrqV7/aLjAk1lZeXq4dO3ZIkkaNGqVly5btddwXv/hFffGLX8x4fQAAIFrt7jSMyb3+DBKhoc9U1Tdr3jf/EnUZ3bbkG6dpWGlhr66xePFiSdorNOzevVtS8Ff1zlx55ZW67bbbtH37dn3kIx/RDTfckPb4ioqKdq/Rn/7whz9Ikm6++WbdfPPNKY9L7IcBAAAGB3dvP7EbzZOAwJIlSyTtHRqGDRsmSe06OCfj7rryyivlHowyUFDQ+cc0FhZir5HKTTfdpBUrVnR6vUTXXHON5syZk3L/kiVLVFJSoosuuijtdTr+PAAAwMC3papBNQ1trU9ongSEYncaOnZ2Hjt2rCTFm+mkcuWVV+r+++/Xueeeq5dfflkLFizQ1VdfrVmzZqU8Z+fOnZLU6bCljz/+uJ599tnO3kI7H/nIR1KGhsbGRlVVVWn69OlZMeQrAADILolNk8aUF/e6RUdUCA19pKKkQEu+cVrUZXRbRUnvPxJLlixRRUWFZsyY0W772LFjNX78eL3zzjvas2ePSktL9zr31ltv1W233aajjjpK9957r37605/qy1/+sq6//nr99re/TfmaK1asUElJiWbPnp22tq6MhNQdRUVFKi0t1bp161RbW6uystxspwgAAPrGQOjPIDHkap8xMw0rLcy5R287Qa9bt06VlZWaO3du0msdd9xxam5u1iuvvLLXvvvuu09XXXWV9t13Xz388MMqLS3Vpz/9aY0fP1733nuvli5dmvQ116xZo8rKSh155JFpR2XqK6eeeqqam5v16U9/WnV1de32ubueeuopvfjii/1eFwAAiN5AGDlJIjQgw1J1go6JDZn69NNPt9v+7LPP6tJLL9Xo0aP1+OOPx5sZlZaW6pprrpG762tf+1rSa8buHpx11lm9fwM9cPPNN2vkyJH61a9+pX322Udnn322LrroIh177LGaMGGCTjnlFCZtAwBgkGrXCZrQAARSdYKO+cAHPqBhw4bpN7/5TXzb8uXLdf755ys/P1+PPPLIXqMMXXHFFZo0aZIeeeQRvfTSS3td8ze/+Y0KCwv1kY98JGPvozvmzJmjV155RVdccYWGDh2qJ598Uo899pg2bdqk+fPn62c/+5mOP/74SGoDAADRWr019yd2kzLUp8HMDpd0qqQjJR0laaKkBncv6cY1npT0nnB1grtvTnHcMZKuk3S0pCJJyyX92N1/0fN3gEy57rrrdN1116XcX1paqssvv1y33XabFi1apMMOO0wHHHBAvCNzMiUlJVq/fn3SfevXr9czzzyjCy+8UOPGjet1/T01depU3XHHHZG9PgAAyD7V9U3aXFUfX6dPg/R1Sf8p6QIFgaFbzOwjCgKDd3LcBZKek3SGpKWSHpc0S9ICM7u1u6+LaFx77bUaOnSobrrppl5f63vf+57y8vL0rW99KwOVAQAAZE7iXYayonxNGr73IDC5IlOh4SVJ35J0rqTx3TnRzMZI+r6kv0ham+a4EZLukZQv6UJ3P9HdL5Q0R9JqSV8ys5N6Vj7609ixY/WVr3xFDz74oJYvX97j62zatEl33nmnPvGJT3Q6ahIAAEB/W7WlLTTsO3ZorweciVJGmie5e7tpcLv5A7lNUpmkz0h6Ks1xH5c0TNIf3f33Ca+9xcyulvR7SVdKejrF+cgi119/va6//vpeXWPChAnas2dPhioCAADIrFVbq+PPZ40rj7CS3ou0I7SZnS7pYknfcfc1nRx+Trh8IMm+RyXVSzrFzLrcjwIAAADoK6sSmifNyuFO0FKEocHMhki6Q9IKSbd04ZS54XJRxx3u3ijpNUklkminAgAAgMglNk+aNS63Q0OUM0J/W9I+kk4Kv/SnZGYVkoaHq8mH0Qm2HyFpqqQlnb24mS1LsWtmiu0AAABAl9Q2NGvDrrZm1LPG0jyp28zsMElfkPQLd3+mC6ckRrO6FMfEZs7I7RgHAACAnJc4clJpYW6PnCRFcKfBzPIl/UzSLklXdfW0DB0T5+4HJr1IcAfigO5cCwAAAEiU2J9h37FDlZeXuyMnSdE0T/qipMMkfczdt3fxnOqE50MkVSU5Zki4rEmyDwAAAOg37UZOyvFO0FI0oeFcBZO4XWZml3bYF5vj4fdm1ijpOnd/wd2rzGy3giFXJyuYBbqjyeEy5VwPmZQ4rGxra6vy8iIdiAqDUGtra/x5Lo/7DADAQNS+E3Ru92eQousIbZKOT7N/frgcnbBtSXjOYeoQGsysUNJBkhokrcxcmamZmYqKitTY2Kja2loNGzasP14WiKutDbrxFBUVERoAAMgy3GnoJXc/MdU+M3tb0jRJE9x9c4fdjyoIDRdK+nWHfecoGG71MXevz1ixnSgvL1dlZaW2bNkiSSorK+OOA/pca2uramtr45+78vLc/+sFAAADSV1js9bvTBg5KceHW5WiHXK1u+6S9DVJ55nZ+2KzQpvZWLXN83BrfxY0atQo1dbWqr6+Xhs3buzPlwYkSSUlJRo1alTUZQAAgARvbquVe/C8uCBPk0cMSX9CDshIaDCzsyV9vcPmIjP7e8L6t9390Z6+hrvvMLOPSrpP0gNm9qyk7ZJOUTCHww/d/ameXr8n8vPzNXXqVFVWVqq6ulqNjWmnmwAypqioSOXl5Ro1apTy8/OjLgcAACR4Y0tb06R9xw5Vfo6PnCRl7k7DGElHddhmHbaN6e2LuPuDZna8pOskHS2pSNLrkn7s7vf09vo9kZ+fr7Fjx2rs2LFyd3ksVgJ9xMzowwAAQBZLHG51IPRnkDIUGtx9gaQFGbjOPl045kVJZ/b2tfoCX+YAAAAw0EZOkiKaERoAAAAYqFYPsJGTJEIDAAAAkDH1TS16Z0ddfJ07DQAAAADaWbOtJj5yUlFBnqaMKI22oAwhNAAAAAAZsjqhE/SM0WUqyB8YX7cHxrsAAAAAskBiJ+j9BkjTJInQAAAAAGRM4hwNA6UTtERoAAAAADKmXWgYR2gAAAAAkGBPY/uRk2aPr4iwmswiNAAAAAAZsGprdXzkpJLCPE0dOSTagjKI0AAAAABkwIrNbU2T9htXrvw8i7CazCI0AAAAABmwMiE0zB5AIydJhAYAAAAgI9qFhvGEBgAAAAAdrCA0AAAAAEilsqZB22sa4uuEBgAAAADtJDZNGllWpDFDiyOsJvMIDQAAAEAvrdzSvhO02cAZOUkiNAAAAAC9NpA7QUuEBgAAAKDXEjtBzyE0AAAAAEjU2up6I6F50n6EBgAAAACJ1u/co7rGlvj6fgNsYjeJ0AAAAAD0yorNVfHnU0aWamhxQYTV9A1CAwAAANAL7TpBj6uIsJK+Q2gAAAAAemHFloHdCVoiNAAAAAC98sYAH25VIjQAAAAAPdbQ3KI3t9fG17nTAAAAAKCdNVtr1dLqkqTCfNM+o8sirqhvEBoAAACAHlq5pW3kpJljhqowf2B+vR6Y7woAAADoBwN9JugYQgMAAADQQ69vSuwEPTCHW5UIDQAAAECPvb6prXnSgRMJDQAAAAASbK2u17bqhvj6/hMIDQAAAAASJDZNGlNerDHlxRFW07cIDQAAAEAPLN/Y1jTpgAF8l0EiNAAAAAA9ktifYSA3TZIIDQAAAECPLE8IDQcM4E7QEqEBAAAA6Lb6pha9ua0mvk7zJAAAAADtrNxcrVYPnpcU5mn66LJoC+pjhAYAAACgmxKbJs0eX6H8PIuwmr6XkdBgZoeb2TVm9nsz22Bmbmb1KY7NM7PjzOwWM3vZzLaaWYOZrTGzO8xseievdYyZPWZmO8ysxswWmtllmXgfAAAAQFcMppGTJKkgQ9f5uqTzunjsDEnPhc83SPqbpFZJR0q6QtLFZnaWu7/Q8UQzu0DS/QrCznOStkt6j6QFZjbP3a/s1bsAAAAAumAwdYKWMtc86SVJ35J0rqTxnRzrkv4s6QR3n+zu57v7+yTNlLRAUrmk/zWzwsSTzGyEpHsk5Uu60N1PdPcLJc2RtFrSl8zspAy9HwAAACCp1lbXisTQMKE8wmr6R0buNLj7zYnrZqnbdLn7GklnJNneYGaflnSBpKmSjpH0bMIhH5c0TNIf3f33CedtMbOrJf1e0pWSnu75OwEAAADSW7ujTrWNLZIks6BPw0CXVR2h3b1e0hvh6sQOu88Jlw8kOfVRSfWSTjGzkj4qDwAAAGjXNGmfUWUaWpypFv/ZK6tCg5nlS5oWrm7usHtuuFzU8Tx3b5T0mqQSSbP7rEAAAAAMeu1ngh74TZOkLAsNkj4oaaykbQo6SEuSzKxC0vBwdX2Kc2Pbp/ZVcQAAAMBgGzlJytzoSb1mZlMk3RauXu/uDQm7hyY8r0txidokx6Z7vWUpds3syvkAAAAYnAbbyElSltxpMLMySQ9JGi3pD+5+R8dDunKZjBcGAAAAJNhZ26hNu9umI9ufOw39Ixxa9UFJh0t6QdLFSQ6rTng+RFJVkmOGhMuarryuux+Yop5lkg7oyjUAAAAwuCT2ZxgxpFDjKwbHGDyR3mkwszxJv5Z0uqQlks519z0dj3P3Kkm7w9XJKS4X274203UCAAAAkrRsY2In6Iq0Uw0MJFE3T/qJpA8oGGb1NHfflebYJeHysI47wrsVB0lqkLQywzUCAAAAkqRXN+yOPz940rAIK+lfkYUGM/uupCsU3Bk41d23dnLKo+HywiT7zlEw3OpT4VwPAAAAQMa9trEtNBxIaOhbZnalpGsVzMVwirt3pUnRXQr6MpxnZu9LuNZYSbeEq7dmulYAAABAkmoamvXW9tr4+mC605CRjtBmdrakr3fYXGRmf09Y/7a7P2pmh0j6frjtLUlfS9EW7C53fyG24u47zOyjku6T9ICZPStpu6RTFMzh8EN3fyoT7wcAAADoaNmG3XIPng8tLtC0kUPSnzCAZGr0pDGSjuqwzTpsGxMuh6tteNT54SOZZxSMphTn7g+a2fGSrpN0tKQiSa9L+rG739PD2gEAAIBOvZbQCfrAiRXKyxscnaClDIUGd18gaUEXj31GvZhTwd1flHRmT88HAAAAeuK1QdoJWop+9CQAAAAgJySOnHQQoQEAAABAorrGZq3Z1jaHMKEBAAAAQDvLN1bFO0EPKcrX9NFl0RbUzwgNAAAAQCcS+zMcOLFC+YOoE7REaAAAAAA69eqGtpGTBlvTJInQAAAAAHQq8U7DQRMJDQAAAAAS7Gls0aqt1fH1gycTGgAAAAAkeH1zlVrDTtAlhXmaOWZotAVFgNAAAAAApLEsoWnSARMGXydoidAAAAAApPXqIJ4JOobQAAAAAKSROHLSgYQGAAAAAInqm1q0aktCJ2hCAwAAAIBEKzdXqznsBV1UkKdZYwdfJ2iJ0AAAAACktGT9rvjzAydWqCB/cH59HpzvGgAAAOiCxet2xZ/Pmzw8sjqiRmgAAAAAUli6vm3kpEOmDI+ukIgRGgAAAIAkquqbtGZbTXx97iCcCTqG0AAAAAAk8dr63fJwJuiKkgLtM6os2oIiRGgAAAAAklic0Al63pThyhuEM0HHEBoAAACAJJaua+vPMJg7QUuEBgAAACCpxOFWB3N/BonQAAAAAOxlS1W9Nu2uj68P5pGTJEIDAAAAsJclCfMzTBhWorEVJdEVkwUIDQAAAEAHifMzDPb+DBKhAQAAANhLu/4MUwZ3fwaJ0AAAAAC009rq7ZonHcKdBkIDAAAAkOjtylpV1TdLksykgwb5yEkSoQEAAABoJ7E/w8wxQ1VRUhhhNdmB0AAAAAAkWJzQNGmwz88QQ2gAAAAAEiR2gh7s8zPEEBoAAACAUGNzq5ZtrIqvM9xqgNAAAAAAhJZvqlJjc6skqaggT3MmlEdcUXYgNAAAAAChRe/sjD8/eNIwFRfkR1hN9iA0AAAAAKFFa9tCw2FTh0dXSJYhNAAAAAChV9buij8/bOqI6ArJMoQGAAAAQNKWqnpt2LUnvn7YNEJDDKEBAAAAUPv+DJOGl2pcRUmE1WQXQgMAAACg9v0ZDqU/QzuEBgAAAEDSIvozpJSR0GBmh5vZNWb2ezPbYGZuZvVdOO9SM1toZjVmtsPMHjOzYzo555jwuB3heQvN7LJMvA8AAAAMTo3NrXp1w+74Ov0Z2ivI0HW+Lum87pxgZrdK+pKkPZL+IqlE0qmSTjOz97v7Q0nOuUDS/QrCznOStkt6j6QFZjbP3a/s1bsAAADAoLRs4+74pG7FBXk6YEJFxBVll0yFhpckLZH0j/CxOd3BZnaygsBQKWm+u68Kt8+X9Iyke8zsGXffmXDOCEn3SMqX9G/u/vtw+zhJL0j6kpk97O5PZ+g9AQAAYJBIbJp08KRhKiqgFX+ijPw03P1md/+Guz/i7lu6cMqXw+WNscAQXuclSXdIGibpox3O+Xi4/Y+xwBCes0XS1eEqdxoAAADQbe0mdaNp0l76PUKZWYmCJkWS9ECSQ2Lbzu2w/Zw05zwqqV7SKeH1AQAAgC575R1mgk4nivsucyQVS9rm7uuT7F8ULud22D63w/44d2+U9JqCfhGzM1QnAAAABoHNu+u1cXfbGD6MnLS3TPVp6I6p4TJZYJC715rZLkkjzKzc3avNrELS8HTnhduPCK+/pLMizGxZil0zOzsXAAAAA0di06TJI0o1lknd9hLFnYah4bIuzTG1HY4dmrAv1XkdzwEAAAA69a92TZO4y5BMFHcaLFx6F45Jtd6Vc9Jy9wOTXiS4A3FAd64FAACA3NWuEzT9GZKK4k5DdbgsS3PMkHBZ0+GcxH2dnQMAAACkVd/UoteY1K1TUYSGteFycrKdZlamoP/CLnevliR3r5K0O915CdvXptgPAAAAtLN43S41tQQNYMqK8pnULYUoQsNKSQ2SxphZsgBwWLhc2mH7kg7748ysUNJB4XVXZqhOAAAADHD/eGtH/Plh00aoIJ9J3ZLp95+Ku++R9Ndw9cIkh8S2PdJh+6NpzjlHwXCrT7l7fZL9AAAAwF4Wvt0WGt61z8gIK8luUUWpW8PldWY2K7bRzOZLukJSlaS7O5xzV7j9PDN7X8I5YyXd0uG6AAAAQFrNLa1alDBy0hH70J8hlYyMnmRmZ0v6eofNRWb294T1b7v7o5Lk7k+a2e2SviBpsZk9IalI0qkKgswl7r4j8WLuvsPMPirpPkkPmNmzkrZLOkVBH4gfuvtTmXg/AAAAGPhWbK5WbWOLJKkgz3ToFEJDKpkacnWMpKM6bLMO28Yk7nT3L5rZYkmfUxAWmiQ9JelGd38h2Yu4+4Nmdryk6yQdrSBovC7px+5+TwbeBwAAAAaJhQn9GQ6aNEylRfkRVpPdMhIa3H2BpAX9cZ67vyjpzO6+FgAAAJDon++0hYYjp9OfIR26hwMAAGDQcXctfKutPwOdoNMjNAAAAGDQeaeyTttrGuLrRzCpW1qEBgAAAAw6iUOtzho7VCPKiiKsJvsRGgAAADDoJE7qdgRNkzpFaAAAAMCg88+E+RmOnE7TpM4QGgAAADCobK2u11vba+PrdILuHKEBAAAAg8o/3267yzBhWIkmDS+NsJrcQGgAAADAoJI4qdu79hkpM4uwmtxAaAAAAMCg8nJiaGBSty4hNAAAAGDQ2FXXqBWbq+Lr82cQGrqC0AAAAIBB4+9v7pB78Hz00GLNHDM02oJyBKEBAAAAg8bf36yMPz96Bv0ZuorQAAAAgEGjfWgYFWEluYXQAAAAgEFhR22jVmyujq/Pn0lo6CpCAwAAAAaFhW+13WUYU16sGaPLIqwmtxAaAAAAMCi8tKZ90yT6M3QdoQEAAACDwt/fbJufYT79GbqF0AAAAIABr7KmQSu3tPVnOJr5GbqF0AAAAIABL3EW6LHlxZpOf4ZuITQAAABgwEscanX+TPozdBehAQAAAANex07Q6B5CAwAAAAa07TUNWrW1Jr5OaOg+QgMAAAAGtMSmSeMrSrTPqCERVpObCA0AAAAY0F5cndg0aST9GXqA0AAAAIAB7cXV2+PP373v6AgryV2EBgAAAAxYayvrtHZHXXz92FmEhp4gNAAAAGDAeiHhLsPMMWWaMKw0wmpyF6EBAAAAA1Zi06TjZo2JsJLcRmgAAADAgNTS6npxDf0ZMoHQAAAAgAFp+cYq7aprkiTl55mOmjEy4opyF6EBAAAAA1Jif4ZDpgxXRUlhhNXkNkIDAAAABqQXVm+LP6dpUu8QGgAAADDg1De16B9v74yvH8dQq71CaAAAAMCA88+3d6qxuVWSVFaUr0OmDI+2oBxHaAAAAMCAk9if4agZo1SYz9fe3uCnBwAAgAEnsT/DsfRn6DVCAwAAAAaUnbWNWraxKr5+LP0Zeo3QAAAAgAHl+dXb5R48H1NerFljh0Zb0AAQeWgws6PN7EEz22xmTWa2w8yeMrML05xzqZktNLOa8PjHzOyY/qwbAAAA2enZlW1Nk07Yb4zMLMJqBoZIQ4OZvV/Si5LeJ2mdpAclvSbpREn3m9lNSc65VdIvJB0k6UlJCyWdKuk5M7ugfyoHAABANmptdT37RvvQgN6LLDSYWYGkH4c1fNDd3+XuH3T34yUdK6le0tVmNjPhnJMlfUlSpaR57n6+u58h6XhJLZLuMbMR/f1eAAAAkB2Wb6rS9poGSVKeMT9DpkR5p2GOpDGSVrj7vYk73P0lSX+WZJIOT9j15XB5o7uv6nD8HZKGSfpoXxYNAACA7JV4l+GQKcM1fEhRhNUMHFGGhoYuHrdDksysRNJ7wm0PJDkutu3cXtYFAACAHPXMyq3x5yfOHhthJQNLlKHhzfAxx8w+kLjDzOZLOl3SW5KeCzfPkVQsaZu7r09yvUXhcm7flAsAAIBstntPkxat3RVfpz9D5kQWGty9RdJHJO2WdK+Z/cPMfmdmz0p6QdJiSae5e2N4ytRwmSwwyN1rJe2SNMLMyvuwdAAAAGShF1dvV0trMNbqyLIiHTxpWMQVDRwFUb64uz9vZidIekjSEeFDkqoVjIy0MeHw2AC7dWkuWStpeHhsdbrXNrNlKXbNTLEdAAAAWSxxqNXjZ41WXh5DrWZK1EOufkjSy5LWSjpKwZf9/ST9VtJ1kp40s8LY4eHS012yj0oFAABAFnNvP9Qq/RkyK7I7DWY2S8F8C1sknR02L5KkVZKuMLMJCjo1Xy7pTrXdOShLc9kh4bKms9d39wNT1LVM0gGdvgEAAABkjZVbqrW5ql6SZAy1mnFR3mn4oKRCSY8nBIZE94XLE8Pl2nA5OdnFzKxMQdOkXe6etmkSAAAABpZnEpomzZ00TKOGFkdYzcATZWiIffmvSrE/tn1kuFypYJjWMWaWLDgcFi6XZqY8AAAA5IrE/gyMmpR5UYaGzeHyiBT73xUu35Ykd98j6a/htguTHB/b9kgmigMAAEBuqK5v0j/f2RFfP4H+DBkXZWj4Y7g83sw+nbjDzI6W9KVwNXEit1vD5XVhn4jY8fMlXaHg7sTdfVMuAAAAstFzb2xXU0swVs7wIYU6ZMrwaAsagKKcp2GRpO+Hqz8xs9fM7D4ze0HSiwo6PN/p7k8mnPOkpNsljZK02Mz+YGaPKZgArlDSR919hwAAADBoPPX6lvjzk2aPVT5DrWZc1PM0fMXM/ibpU5IOlzRbwShJz0q6y91/k+ScL5rZYkmfk3SqpCZJT0m60d1f6K/aAQAAEL2WVtfTK7fG10/Zf1yE1QxckYYGSXL3hxRM7tadcxZIWtAX9QAAACB3LFq7UzvrmiRJhfmm4/djqNW+EOnkbgAAAEBvPJnQNOmo6aNUXlKY5mj0FKEBAAAAOeup19uaJr1nf0ZN6iuEBgAAAOSkdyprtXprTXyd/gx9h9AAAACAnPRkwl2G/cYN1ZSRQyKsZmAjNAAAACAnJQ61+h7uMvQpQgMAAAByTlV9kxa+1TY91yn0Z+hThAYAAADknGdXblNzazAL9MiyIh0yZUTEFQ1shAYAAADknCeZBbpfERoAAACQU5paWvX0isRZoGma1NcIDQAAAMgpf3+zUlX1zZKkooI8Hb/fmIgrGvgIDQAAAMgpj7+2Of78+FljVFZcEGE1gwOhAQAAADmjpdX152Vt/RnOOGh8hNUMHoQGAAAA5IxX1u7U9poGSVJ+ntGfoZ8QGgAAAJAzEpsmzZ8xSsOHFEVYzeBBaAAAAEBOcHc9vqwtNJxO06R+Q2gAAABATli2sUrrd+6Jr592wLgIqxlcCA0AAADICX9JuMtw2NThGldREmE1gwuhAQAAADkhsWkSoyb1L0IDAAAAst6abTV6Y0tNfP30AwkN/YnQAAAAgKz354S7DPtPqNC0UWURVjP4EBoAAACQ9R57dVP8+ekH0gG6vxEaAAAAkNXe3l6r1zZUxdfPPnhChNUMToQGAAAAZLVHlm6MP589rlyzxpVHWM3gRGgAAABAVntkaVvTpHPmcpchCoQGAAAAZK3VW6u1YnN1fP2ceRMjrGbwIjQAAAAgaz28pO0uw4ETKzR9NKMmRYHQAAAAgKzk7u36M5wzl7sMUSE0AAAAICut2FytNdtq4+v0Z4gOoQEAAABZKfEuw7wpwzVl5JAIqxncCA0AAADIOkHTpLb+DOdylyFShAYAAABkndc2VOmdyrr4+llM6BYpQgMAAACyzsMJTZOOmDZCE4eXRlgNCA0AAADIKi2trj8u3hBfP5e5GSJHaAAAAEBWeWlNpbZUNUiSCvKMUZOyAKEBAAAAWeWhV9ruMpyw3xiNGlocYTWQCA0AAADIInsaW/T4a22jJl1w2KQIq0EMoQEAAABZ4y/LN6u2sUWSNLS4QKfsPy7iiiARGgAAAJBF/pDQNOnMg8arpDA/wmoQQ2gAAABAVthe06DnVm2Pr9M0KXtkRWgws/Fm9gMze8PM9pjZDjP7l5ndkuL4S81soZnVhMc+ZmbH9HfdAAAAyJxHlmxUS6tLkiYMK9HR00dFXBFiIg8NZjZf0uuSviipSdKfJP1d0ihJVyY5/lZJv5B0kKQnJS2UdKqk58zsgv6pGgAAAJn20OK2Cd3ee8hE5eVZhNUgUUGUL25mEyU9JqlY0vvc/aEO+4/ssH6ypC9JqpQ0391XhdvnS3pG0j1m9oy77+yH8gEAAJAha7bVaMm6XfH1Cw6laVI2ifpOw02Shku6umNgkCR3X9hh05fD5Y2xwBAe95KkOyQNk/TRvikVAAAAfeWBf62PP58zvlxzxldEWA06iiw0mNkISR+QtFvSXV04vkTSe8LVB5IcEtt2bkYKBAAAQL9obmnVgwmh4f1HTImwGiQTZfOkdytolvSkpCYzu1DSsZIKJa2QdJ+7b0k4fk54/DZ3X9/xYpIWhcu5fVcyAAAAMu25Vdu0tbpBklSYbzr/kIkRV4SOogwNB4bLLZKelzS/w/7/NLPL3f3+cH1quEwWGOTutWa2S9IIMyt39+p0L25my1Lsmtlp5QAAAMiY+/7R9vXulP3HadTQ4girQTJR9mkYES4vVXB34GOSxkiaLulWSWWSfm1msTsHQ8NlXZpr1nY4FgAAAFmssqZBT77e1rjkAzRNykpR3mmITe9XIOmz7v7zcH27pC+b2VRJF0q6WtKHJcXG3PI01+zyuFzufmCy7eEdiAO6eh0AAAD03EOvbFBzODfDuIpiHTdrdMQVIZko7zTEmg+1Kph3oaNYiDixw/Flaa45JFzW9KoyAAAA9Dl3133/XBdf/7fDJqsgP+rBPZFMlL+Vt8PlZndvSLN/bLhcGy4nJ7uYmZUpGL51V2f9GQAAABC9pet3640tbX/rZdSk7BVlaHglXI4ws2TNimLzhsc+SSslNUgaY2bJgsNh4XJp5koEAABAX0m8y3DkPiM1fXS6BiWIUmShwd1flfSWpFJJRyU55MRwuSg8fo+kv4bbLkxyfGzbI5mrEgAAAH1hT2OL/rRkY3z9/UckbUyCLBF1o7Gbw+UPzSze68XMDlfb7M93JBx/a7i8zsxmJRw/X9IVkqok3d135QIAACATHl66UdX1zZKksqJ8nXXwhIgrQjpRjp4kST9TMMvz+yWtNLO/KRgu9RhJRZJ+5u7x2Z/d/Ukzu13SFyQtNrMnwuNOVRCALnH3Hf38HgAAANBN//vy2vjz8w+dpLLiqL+WIp1Ifzvu3mpmH5T0jKSPSzpZwZCq/5R0h7v/Ksk5XzSzxZI+pyAsNEl6StKN7v5CP5UOAACAHnptw24tWbcrvn7JUdOiKwZdEnmkc/dWST8JH109Z4GkBX1UEgAAAPpQ4l2GQ6cO1wETKyKsBl0RdZ8GAAAADCLV9U364+IN8XXuMuQGQgMAAAD6zR8Wb1RdY4skaVhpoc6ZSwfoXEBoAAAAQL9wd/3v39+Jr194+GSVFOZHWBG6itAAAACAfrFo7S6t2FwdX7/4qKkRVoPuIDQAAACgX/zvy213GebPGKWZY4ZGWA26g9AAAACAPre9pkGPLNkUX7/kaO4y5BJCAwAAAPrcb19eq8aWVknSmPJinXbA+IgrQncQGgAAANCnmlpa9auEDtD/fvQ0FRXwNTSX8NsCAABAn3rs1U3aWt0gSSrKz9OHjqRpUq4hNAAAAKBPLfjb2/Hn58yboDHlxdEVgx4hNAAAAKDPLF63S6+s3RVfv/yY6dEVgx4jNAAAAKDPLHjxrfjzI6aN0MGTh0VYDXqK0AAAAIA+sbWqXo++2jbM6uXv5i5DriI0AAAAoE/8+u/vqKnFJUkThpXotAPHRVwReorQAAAAgIzb09jSbpjVDx89TYX5fPXMVfzmAAAAkHH3/2uddtY1SZJKC/N1yVEMs5rLCA0AAADIqOaWVt31fFsH6IveNUXDhxRFWBF6i9AAAACAjHp82Wat3VEnScrPM33sWDpA5zpCAwAAADLG3fU/z74ZXz/74AmaMnJIhBUhEwgNAAAAyJiX3qzUqxt2x9c/efyMCKtBphAaAAAAkDF3Ptd2l+HYfUfroElM5jYQEBoAAACQESs2V+mZldvi69xlGDgIDQAAAMiInz6zJv58/wkVOm7W6AirQSYRGgAAANBrb22v1cNLNsbXP3XCDJlZhBUhkwgNAAAA6LWfPL1arR48nz66TOfMnRhtQcgoQgMAAAB6Zd2OOj30yob4+mdOnKn8PO4yDCSEBgAAAPTKHc+uUXN4m2HyiFKdf+ikiCtCphEaAAAA0GObd9fr/n+uj69/+sSZKsznK+ZAw28UAAAAPfY/z61RY0urJGl8RYkuPHxyxBWhLxAaAAAA0CPbqhv024Vr4+tXnDBDxQX5EVaEvkJoAAAAQI/89Jk1qm8K7jKMHlqkDx05NeKK0FcIDQAAAOi2Tbv36NcvvxNf/9QJM1VSyF2GgYrQAAAAgG770V9Xq7E5uMswrqJYHz56WsQVoS8RGgAAANAtayvrdO8/1sXXP3fyLO4yDHCEBgAAAHTL7U+tajcvw0VHTIm4IvQ1QgMAAAC6bPXWaj30Stu8DF94zywVFfCVcqDjNwwAAIAu+8GTqxTeZNCMMWW6gNmfBwVCAwAAALrk1fW79ejSTfH1L52ynwqY/XlQyJrfspmNNLOtZuZmtqKTYy81s4VmVmNmO8zsMTM7pr9qBQAAGGzcXd997PX4+pzx5Tr74AkRVoT+lDWhQdKtkkZ3dpCZ3SrpF5IOkvSkpIWSTpX0nJld0KcVAgAADFLPrNyml96sjK9fe9b+ysuzCCtCf8qK0GBm75F0maSfdXLcyZK+JKlS0jx3P9/dz5B0vKQWSfeY2Yi+rhcAAGAwaW5p1X/+X9tdhuNmjdYJ+42JsCL0t8hDg5mVSrpD0nJJ3+/k8C+HyxvdfVVso7u/FF5jmKSP9kWdAAAAg9WDi9brjS01kiQz6Zoz50RcEfpb5KFB0jckzZT0aUlNqQ4ysxJJ7wlXH0hySGzbuRmtDgAAYBCra2zWf/3ljfj6BYdO0oETh0VYEaIQaWgws7kK7h7c4+7PdXL4HEnFkra5+/ok+xeFy7kZLBEAAGBQu/v5t7S1ukGSVFSQpy+fNjviihCFyEKDmeUp6MOwS9LVXThlarhMFhjk7rXhtUaYWXkGSgQAABjUtlTV66fPromvf/Td0zVpeGmEFSEqBRG+9uclHSnpcnev7OxgSUPDZV2aY2olDQ+PrU53MTNblmLXzC7UAgAAMODd9H8rVNfYIkkaMaRQnz6Rr0mDVSR3GsxsiqQbJT3r7gu6elq49C4cAwAAgF741zs79dArG+LrV50+W8NKCyOsCFGK6k7DTyQVKej83FWxOwdlaY4ZEi5rOruYux+YbHt4B+KAbtQFAAAwoLS2ur75cFujjAMmVOiD75qa5gwMdFGFhnMU9D/4qVm7mwMl4XKqmT0TO9bdayStDdcnJ7ugmZUpaJq0y93TNk0CAABAag/8a72Wrt8dX7/hvQcqn4ncBrUo+zQMl3RCin2lCftiNa6U1CBpjJlNTjKC0mHhcmkmiwQAABhMquqbdMufV8TXz503UUdOHxlhRcgGkfRpcHdL9pA0PTxkZcL2XeE5eyT9Ndx/YZLLxrY90qfFAwAADGC3P7lK22saJUklhXm6loncoOyY3K07bg2X15nZrNhGM5sv6QpJVZLujqIwAACAXLds424t+Nvb8fXPnLivJjLEKpRjocHdn5R0u6RRkhab2R/M7DFJz0kqlPRRd98RZY0AAAC5qKXV9bWHXlNLazBQ5bRRQ/TJ42dEXBWyRU6FBkly9y9KulzS65JOlXSMpKckneDuD0ZYGgAAQM767cK1WrxuV3z92+cdpJLC/OgKQlaJsiP0Xtz9bXVhroVwbocFfVwOAADAoLCtukE3P96+8/Px+42JsCJkm5y70wAAAIDMuvHR5aqub5YklRcX6Otn7x9xRcg2hAYAAIBB7PlV2/THxRvj6185Y7bGVpSkOQODEaEBAABgkKptaNa1v381vj5v8jBdctS0CCtCtiI0AAAADFLf+/NKrd+5R5KUn2f6zgUHM/MzkiI0AAAADEIL39rRYU6GmTpo0rDoCkJWIzQAAAAMMnsaW/TVB5fG12eNHarPnbxvhBUh2xEaAAAABpkfPPmG3tpeK0nKM+l775+n4gLmZEBqhAYAAIBB5F/v7NRdz78ZX//EcTN0yJTh0RWEnEBoAAAAGCRqGpp15X2L1erB+vTRZfrSqftFWxRyAqEBAABgkPj2w8v1TmWdpKBZ0vffP08lhTRLQucIDQAAAIPA469t1r3/XBdf/9xJ++rwaSMirAi5hNAAAAAwwG2tqte1v28bLWne5GH6/HtmRVgRcg2hAQAAYABzd33lgaXaWdckSSotzNcPLjpEhfl8DUTX8WkBAAAYwH750jt69o1t8fWvnb2/ZowZGmFFyEWEBgAAgAHqtQ279Z1HX4+vnzxnrC45amqEFSFXERoAAAAGoKr6Jn32N4vU2NIqSRo9tFg3/9tcmVnElSEXERoAAAAGGHfXtQ++Gh9e1Uy6/YOHaEx5ccSVIVcRGgAAAAaYX/39HT366qb4+hfeM0vv3nd0hBUh1xEaAAAABpBX1+/WjY+09WN4976j9PmTGV4VvUNoAAAAGCB217XvxzCmvFi3XXSo8vPox4DeITQAAAAMAC2trs//7hWt3RH0Y8gz6YcfPJR+DMgIQgMAAMAAcMufV+i5hPkYvnzabM2fOSrCijCQEBoAAABy3J+WbNT/PPtmfP3Mg8brMyfOjLAiDDSEBgAAgBz22obduvqBJfH12ePK9f33z2M+BmQUoQEAACBHVdY06Ipf/Uv1TUHH52Glhbrz0sNVVlwQcWUYaAgNAAAAOai+qUVX/Opf2rBrj6Sg4/OPLj5U00aVRVwZBiJCAwAAQI5pbXV95YGl+uc7O+Pbrj1zfx03a0yEVWEgIzQAAADkmO//ZaUeXrIxvn7REVP08eOmR1gRBjpCAwAAQA757cK1+skza+Lrx80arRsvOIiOz+hThAYAAIAc8dwb23TdH16Lr88eV64fX3KYCvP5Soe+xScMAAAgByxdv0uf/vW/1NLqkqQx5cX6+eXvUkVJYcSVYTAgNAAAAGS51VurddnPF6q2sUWSNKQoX/d85F2aNLw04sowWBAaAAAAstj6nXX697sXamddkySpIM/040sO00GThkVcGQYTQgMAAECW2l7ToH+/e6E27a6XJJlJt150iE6aPTbiyjDYEBoAAACyUFV9ky77+UK9tb02vu3b5x2k986bGGFVGKwIDQAAAFmmqr5Jl969UMs2VsW3feX02frw0dMirAqDGaEBAAAgi1SHdxgWr9sV3/bxY6frMyfOjK4oDHqEBgAAgCxRXd+kS3++UK+s3RXf9uGjp+prZ+/P5G2IFKEBAAAgC8TuMHQMDN8+j9meEb3IQoOZDTGz883sbjNbamZVZlZrZkvM7HozG5rm3EvNbKGZ1ZjZDjN7zMyO6c/6AQAAMmV3XXCHYVFCYLjkqKn61nsJDMgOUd5puFjSQ5I+GtbxuKTnJU2X9E1J/zCzvcYTM7NbJf1C0kGSnpS0UNKpkp4zswv6p3QAAIDM2Fpdr4vufKndHYaLjwruMOTlERiQHaIMDY2SfippP3c/yN0/4O5nSJot6RVJcyTdlniCmZ0s6UuSKiXNc/fzw3OOl9Qi6R4zG9GP7wEAAKDH1u+s0wfueEkrNlfHt11y1FTdSGBAloksNLj7L939M+6+qsP2TZI+G66+z8yKEnZ/OVzemHieu78k6Q5JwxTcuQAAAMhqq7fW6P13vKS3K+vi2z51wkzdeD6BAdknWztCLwmXxZJGSZKZlUh6T7j9gSTnxLad27elAQAA9M7idbv0gf95KT7TsyRdfcZsXXPmHPowICsVRF1ACjPCZZOkHeHzOQpCxDZ3X5/knEXhcm4f1wYAANBjf1m2Wf/vd6+ovqlVkmQWzPTMxG3IZtkaGr4QLh9394bw+dRwmSwwyN1rzWyXpBFmVu7u1cmOizGzZSl2MXMKAADoEwtefEvffGS53IP1gjzTf31gns47ZFK0hQGdyLrQYGZnSfqYgrsMX0/YFRuCtW6vk9rUShoeHps2NAAAAPSX1lbXdx97XXe98FZ8W3lxge7498P17n1HR1gZ0DVZFRrMbH9Jv5Zkkr7i7ksSd4dLT3eJrr6Wux+YooZlkg7o6nUAAADSqWlo1pX3LtZflm+Jb5s4rET3XH6kZo8vj7AyoOuyJjSY2WQFczWMkHSru9/e4ZDYnYOyNJcZEi5rMlweAABAt62trNMnfvlPrdzS1gDigAkVuufyd2lcRUmElQHdkxWhwcxGS3pCQb+FeyRdleSwteFycoprlClomrSrs/4MAAAAfe1vq7frM79ZpF11TfFtJ84eox9dfJiGFmfFVzCgyyL/xJpZuaT/UzA60u8lfcLdkzVBWimpQdIYM5ucZASlw8Ll0j4rFgAAoBPurgV/e1s3Pvq6WlrbvtJ86oSZ+srps5XPHAzIQZHO02BmxZL+KOkISX+W9CF3b0l2rLvvkfTXcPXCJIfEtj2S6ToBAAC6orq+SZ//7Sv65sPL44GhuCBPt3/wEF1z5hwCA3JWZKHBzPIl/VbSSZKel/Q+d2/s5LRbw+V1ZjYr4VrzJV0hqUrS3X1QLgAAQFrLN1bpvT96UY8s3RTfNmFYiR741DEMqYqcF2XzpM9JuiB8vl3ST1LMgHiVu2+XJHd/0sxuVzCPw2Ize0JSkaRTFQSgS9x9R7KLAAAA9AV31+/+sU43/GmZGppb49vnzxilH37oUI0pL46wOiAzogwNIxKeX5DyKOkGBaFCkuTuXzSzxQpCx6kK5nN4StKN7v5C5ssEAABIrrq+Sdf/cZkeemVDfJuZ9PmTZ+kL75lFcyQMGJGFBne/QUEg6Mm5CyQtyFw1AAAA3bPwrR268r7FWr9zT3zbqLIi3fbBQ3TcrDERVgZkXuSjJwEAAOSSxuZW/eDJN3THs2uUON7jkfuM1H9ffCjzL2BAIjQAAAB00RtbqvXF3y3W8k1V8W35eab/d/IsffakmSrIj3RgSqDPEBoAAAA60dTSqjufe1O3P7VKjQmdnaePLtMPLjpEh0wZHl1xQD8gNAAAAKSxdP0uffXBV/V6wt0FSfr3o6fp2rPmaEgRX6cw8PEpBwAASGJPY4tufWKl7n7hLSVM7Kyx5cW6+cK5Omn22OiKA/oZoQEAAKCDp1ds1Tf+tExrd9S12/6hI6fomjP317DSwogqA6JBaAAAAAi9U1mrbz+yXE++vrXd9n1GDdF/vm+u5s8cFVFlQLQIDQAAYNDb09iinz6zWnc892a7js75eaZPHDdDXzxllkoK8yOsEIgWoQEAAAxara2uh5du1C2Pr9SGXXva7Tty+kh967wDNWd8RUTVAdmD0AAAAAalF1dv13/+3+t6bUP7UZHGVRTrP87aX++dN1FmFlF1QHYhNAAAgEHl9U1Vuun/VujZN7a1216QZ/rYcdP1+ZNnaWgxX5GARPwXAQAABoW3t9fqh39dpYde2SD39vvOOni8vnL6HE0fXRZNcUCWIzQAAIAB7e3ttfrR06v10Csb1NLaPi0cuc9IXXPWHB02dURE1QG5gdAAAAAGpLe31+q//7paf1i8d1jYd+xQffWMOTpl/7H0WwC6gNAAAAAGlGUbd+tnz72ph5du2issTBs1RJ87aV9dcOgkFeTnRVQhkHsIDQAAIOe5u55ftV13PvemXli9fa/900YN0edPnqXzD5lIWAB6gNAAAAByVkNzix5dukl3PvemVmyu3mv/PmFYOI+wAPQKoQEAAOScDbv26Dcvv6N7/7FO22sa99p/8KRh+uTxM3TmQeMJC0AGEBoAAEBOaG11Pb96u3710jv664ot6tBdQZJ00uwx+uTxM3X0jJF0cAYyiNAAAACy2paqej30ygb9buFavV1Zt9f+4oI8vXfeRH3i+Bnab1x5BBUCAx+hAQAAZJ36phY9+foWPfCv9XrujW1J7ypMGzVEHz5qmi48fLJGlBX1f5HAIEJoAAAAWcHd9cq6Xfr9ovX60+KNqqpv3uuYPJNOnjNO/z5/mo7bd7Ty8miCBPQHQgMAAIiMu+u1DVV6ZOlGPbJ0kzbs2pP0uEnDS/Vvh0/WB46YrMkjhvRzlQAIDQAAoF+5u1ZsrtYjSzfq0aWbkvZTkKTSwnyddfAEXXj4ZB01fSR3FYAIERoAAECfa2pp1T/e3qEnlm/Rk69v0bodye8omElHTR+pfztsss48eIKGFvNVBcgG/JcIAAD6RFV9k55duU1Pvr5FT6/YmrSPQszh00bonLkTdNbBEzSuoqQfqwTQFYQGAACQES2trlc37NYLq7bpuVXbteidnWpONuxRaN6U4To3DAoTh5f2Y6UAuovQAAAAemz9zjo9v2q7Xli1XS+s3q7de5pSHluUn6dj9h2lU/Yfp1P2H6fxw7ijAOQKQgMAAOgSd9e6HXu08O0dWvhWpRa+tSNlJ+aYEUMKdfKccTr1gLE6btYYldFHAchJ/JcLAACSam11rdlWo5ff2qGF4WNzVX3acwryTIdNHaFjZ43WcbNGa+7k4cpn1CMg5xEaAACAJGlrdb2WrNutxet2asm63Vqyfpeq03RejpkxukzHzRqt42aN0dEzRzHiETAA8V81AACD0K66Ri3fVKXXNuzW4nW7tGTd7pQTq3U0Y0yZjpo+UkdOH6kjp4/SJDoxAwMeoQEAgAGstdW1bmedXt9UpeUbq7Q8XG7cnb6ZUYyZtP/4Ch05faSOmj5SR+wzUmPKi/u4agDZhtAAAMAA4O7aXFWvVVtqtHprjVZvq9GqLdV6fVO1aho6b2IUM76iRPOmDNMhU0Zo3pRhmjt5OM2NABAaAADIJY3NrVq/sy4eDFZvrdGarTVas622W+FAkoaVFuqACRWaN2W4DgkfDIMKIBlCAwAAWaa2oVnvVNbpncpavbOjTu9U1mntjlq9vb1Om3bvUZr50lKaNmqIDphQof0nVOiACRU6YGKFJgwrkRkjGwHoHKEBAIB+5O7avadJG3bt0cZd9dq4a4827g6eb9hZp7U76rS9prHH1x9bXqxZ44Zq3zFDte/Yodp/QoVmjy9XeUlhBt8FgMGG0AAAQIa0tLoqaxu0tapB26qDx+aqIBhs2LVHm3YHz+saW3r1OnkmTR4xRPuOHdruMXPMUA0rJRwAyLycDA1mViLpWkkfkjRV0g5Jj0u63t3XR1kbAGBgaW117drTpB21jdpZ16jt1Q3aVhMEg63V9doahoOt1Q2qrGnoUdOhZIoK8jR15BBNGzlEU0cN0T6jyjR1VLA+ecQQFRXkZeaFAKALci40hIHhKUnHSNok6Y+S9pF0uaRzzGy+u6+JrkIAQLZqbG5VdX2TquqbtXtPk3bWNWpnbaN2hI+ddW3Pg/Um7aprzFgQSFRSmKeJw0s1aXipJg4r1YThJZo4rFRTRg7RtFFDNL6iRHnMpAwgS+RcaJD0HwoCw0uSTnP3Gkkysysl/Zekn0s6IbryAAB9obmlVbUNLappbFZdQ7NqGppV29AShoAmVe0JgkDwPAgGVeH67j3B/j1NvWsW1FVlRfkaW1GiMUOLNbaiWBOHl2risJJgGQaF4UMK6YQMIGfkVGgws0JJnw9XPxsLDJLk7rea2WWSjjezw939X5EUCQCDlLursaVV9U2tqm9qCR+t2hN/3ratvqlFe5paVNfYopqGWAhoUV1jLAw0t+0Ll43NrZG+v4I804iyIo0qK9KY8mKNLS8Jl0EwSFwvY14DAANMrv2rdqyk4ZLWuPsrSfY/IGmupHMlERoADGitra7mVldLq6u5tVVNLa6mllY1Nreqobk1/jy+raVVTc2tamxp29bY3KrGFm93XGPCsilxvTkxALSqvrlF9Y0tqm9uCwHeB814+kJ+nqm8pEAjhhRpxJBCjSwr1siyQo0oK9LIIUUaWRY8YiFhRFmRyosLuDMAYNDKtdAwL1wuSrF/UYfjAPSSu8td8thzSe5Sa/jtMNjXdkxreLw6bHd3tYbbFN/Wdkz8vHTXTNjW0upqdVdrq9TisefBa7S0utw93K5wu4fnBNeLrbsnXMtdLa1t+1tbXS0e1N7u3NYk1/a2a7UkfJFvbgmeN7W6WsL15viX/dTrLa1BAGgJ9zW3tLYFhJbg2n3Rzj5XFBXkaWhxgYYU5auipFAVpQWqKCnUsNJCVZQWJt8WrleUFqqsKJ8AAADdkGuhYWq4TDVC0voOx+WU3y1cqz8t2RhfT/yLXfBVTSn2ddDD8zxh5977Ur7EXjs99a529ey1r4u1ddSt10hzTU+50vXz0tXScX+6v8h29zXafalP8gU/5XYFX3yTfcH3JK8FdIeZVFKQr9KifJUU5KmkMD98tD0vKy7Q0OJ8DSkqUFlxgcqKgm1lxfkqi21L3F5UoCHF+SrMZ+QgAOhPuRYahobLuhT7azscl5KZLUuxa2Z3i8qUd3bU6W9rKqN6eQADSFF+ngrzTUUFeSrMz1NRQfgInxfmt39eXJDm+Pw8FYbPS4uCL/2lhfkqLsxvCwWFeQkBIV/FhcE1+Ws+AAwMuRYaYv/3SfX3T/7vBAwQZsF/0Hlm4fNgg4X78s2Ul2fKM1N+ninPlPDclJcXrofnx7eH+4Lt7c+NnR87vu2YcH/s9SxxXeE5wfF5JuXlmQrz85SfZyrIMxXk5akg3xLWTfn5eSrMC7flh8eE6+3OTXi+977gvGB7sD/2RZ8v6wCATMq10FAdLstS7B8SLmtS7I9z9wOTbQ/vQBzQ/dJ674wDx2ufUUPabbPEHNThO0DiascvCO33dTiv3SUt5b6OuvUaCXv33pfu9bp6XupaOp6brraM/Uy7WHfHDel+/nu/p/SvYfEv1+FzKf5l2yz58zyLXWvvc2Nf1mOvl3jNvPC5Eq8ZnpuX+AU/yfZ21wzX8xLr5csuAABZJ9dCw9pwOTnF/skdjssp86YM17wpw6MuAwAAAGgn13qSLQmXh6XYH9u+tB9qAQAAAAaFXAsNL0raLWmmmR2aZP+F4fKR/isJAAAAGNhyKjS4e6OkH4WrPzKzeN8GM7tSwcRuL7j7P6KoDwAAABiIcq1PgyTdKOkUScdIWmVmz0uaJukoSZWSLo+wNgAAAGDAyak7DZLk7vWSTpL0bQXzNZwvaR9Jv5B0qLuvjqw4AAAAYADKxTsNcvc9kq4PHwAAAAD6UM7daQAAAADQvwgNAAAAANIiNAAAAABIi9AAAAAAIC1CAwAAAIC0CA0AAAAA0iI0AAAAAEiL0AAAAAAgLUIDAAAAgLQIDQAAAADSMnePuoasYmZVxcXF5TNnzoy6FAAAACBj1qxZo4aGhmp3r+juuYSGDsxss6QhktZFXcsgFEtqayKtAlHgdz948bsfvPjdD1787qMzRVKdu4/v7omEBmQNM1smSe5+YNS1oH/xux+8+N0PXvzuBy9+97mJPg0AAAAA0iI0AAAAAEiL0AAAAAAgLUIDAAAAgLQIDQAAAADSYvQkAAAAAGlxpwEAAABAWoQGAAAAAGkRGgAAAACkRWgAAAAAkBahAQAAAEBahAYAAAAAaREaAAAAAKRFaEBOMbPrzczDxwejrgd9w8zmmNlXzewpM1trZg1mttnMfm9mx0VdH3rPzErM7Jtm9oaZ1ZvZRjP7uZlNjro29A0zG2Jm55vZ3Wa21MyqzKzWzJaE/7YPjbpG9A8zG2lmW8P/l6+Iuh50DZO7IWeY2WxJSyQVSTJJH3L330VbFfqCma2XNElSlaSXJe2UdICkgyS5pCvd/bbICkSvmFmJpKckHSNpk6TnJe0j6UhJ2yTNd/c1kRWIPmFmH5f0s3B1maTlkioUfA7KJa2QdIK7b42mQvQXM1sg6VIF/y9f6e5zoq0IXcGdBuQEMzNJd0raJelP0VaDfrBc0sWSxrj7ae5+kbsfLOlTCv4n830zOyDSCtEb/6Hgi+JLkvYLf79HSfqypDGSfh5lcegzjZJ+quB3fpC7f8Ddz5A0W9IrkuZIui3C+tAPzOw9ki5TW4BEjuBOA3KCmX1CQWj4sKRTFfyDw52GQcjM/izpNEk3uPs3o64H3WNmhZK2Shou6TB3f6XD/iWS5ko6wt3/1f8VIgpmNl/S3yQ1SKpw98aIS0IfMLNSSUsVBMjzJb0h7jTkDO40IOuZ2XhJt0h6yt3/N+p6ELkl4XJipFWgp45VEBjWdAwMoQfC5bn9VhGyQey/62JJo6IsBH3qG5JmSvq0pKaIa0E3ERqQC34oqVTBPzLAjHC5OdIq0FPzwuWiFPsXdTgOg0Psv+smSTuiLAR9w8zmKmiCeI+7Pxd1Peg+QgOympmdI+n9kr7r7quirgfRMrOZks4JV+nbkpumhsv1Kfav73AcBocvhMvH3b0h0kqQcWaWp6APwy5JV0dbDXqqIOoCgFTC4fd+oqDN480Rl4OImVmBpAUKmi/cS3v3nBUbVrMuxf7aDsdhgDOzsyR9TMFdhq9HXA76xucVjI52ubtXRl0MeobQgD5jZg8oGCKzOy5194Xh8+9KmiLpPfzlKbdk4HefzH8raA//pqTP9LQ2RM7CZapROCzFdgxAZra/pF8r+L1/xd2XdHIKcoyZTZF0o6Rn3X1BxOWgFwgN6Ev7KBhKrzuGSJKZHSnps5J+5e5/zXBd6Hv7qIe/+2TM7HoFw61ukXS6u9PmOXdVh8uyFPtjn4OafqgFEQon8ntc0ghJt7r77RGXhL7xEwXzK9EvMccRGtBn3P2IXpx+loI+Nweb2TMd9sWGZrvezD4l6QF3/1EvXgsZ1svffTtm9llJ35S0W9IZ7r46U9dGJNaGy1QzP0/ucBwGIDMbLekJBX1X7pF0VbQVoQ+do6Avw0+DKZfiSsLl1IT/z5/j7vzBIEsRGpDtDkmzb//wsbhfKkG/M7NLFDRLqpN0trsvjrYiZECs+clhKfbHti/th1oQATMrl/R/Cv4A9HtJn3AmjRrohks6IcW+0oR9fC/NYkzuhpwTTj/P5G4DXNg58o+SWiWd6+5/ibgkZICZFSmY3G2Y0k/udqS7/yOCEtGHzKxYQWA4SdKfJb2XidwGJzPbR9JbYnK3nMGQqwCyjpm9W22TfF1EYBg4wi+IseaEPzKzeN8GM7tSQWB4gcAw8JhZvqTfKggMz0t6H4EByB3cBgKQjR5RcMv6LUnnm9n5SY55wd3v6teqkCk3SjpF0jGSVpnZ85KmSTpKUqWkyyOsDX3nc5IuCJ9vl/STDm3cY65y9+39VhWALiE0AMhGw8Pl9PCRCqEhB7l7vZmdJOlaSRdLOl/STkm/kPR1d18XYXnoOyMSnl+Q8ijpBgWhAkAWoU8DAAAAgLTo0wAAAAAgLUIDAAAAgLQIDQAAAADSIjQAAAAASIvQAAAAACAtQgMAAACAtAgNAAAAANIiNAAAAABIi9AAAAAAIC1CAwAAAIC0CA0AAAAA0iI0AAAAAEiL0AAAAAAgLUIDAAAAgLQIDQAAAADSIjQAAAAASIvQAAAAACAtQgMAAACAtP4/mtDBge0CyeMAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def problem2():\n",
    "    print(\"问题 2：插值区间越小越好吗？\")\n",
    "\n",
    "    def sub(targets_x, targets_n, solve):\n",
    "        return DataFrame({n: {x: solve(n, x) for x in targets_x} for n in targets_n}).round(4)\n",
    "\n",
    "    print(\"(1) 考虑 f(x) = 1 / (1 + x^2) in [-1, 1]\")\n",
    "    targets_x_1 = [-0.95, -0.05, 0.05, 0.95]\n",
    "    targets_n = [5, 10, 20]\n",
    "    print(sub(\n",
    "        targets_x=targets_x_1,\n",
    "        targets_n=targets_n,\n",
    "        solve=lambda n_i, x: P(\n",
    "            lambda x_i: 1 / (1 + x_i ** 2), linspace(1, n_i), x\n",
    "        )\n",
    "    ))\n",
    "    print(\"差值：\")\n",
    "    print(sub(\n",
    "        targets_x=targets_x_1,\n",
    "        targets_n=targets_n,\n",
    "        solve=lambda n_i, x: ((1 / (1 + x ** 2)) - P(\n",
    "            lambda x_i: 1 / (1 + x_i ** 2), linspace(1, n_i), x\n",
    "        ))\n",
    "    ))\n",
    "\n",
    "    print(\"(2) 考虑 f(x) = e^x in [-5, 5]\")\n",
    "    targets_x_2 = [0.75, 1.75, 2.75, 3.75, 4.75]\n",
    "    print(sub(\n",
    "        targets_x=targets_x_2,\n",
    "        targets_n=targets_n,\n",
    "        solve=lambda n_i, x: P(lambda x_i: np.e ** x_i,\n",
    "                               linspace(5, n_i), x)\n",
    "    ))\n",
    "    print(\"差值：\")\n",
    "    print(sub(\n",
    "        targets_x=targets_x_2,\n",
    "        targets_n=targets_n,\n",
    "        solve=lambda n_i, x: (np.e ** x - P(lambda x_i: np.e ** x_i,\n",
    "                                            linspace(5, n_i), x))\n",
    "    ))\n",
    "    print(\"画出两个函数以及其拉格朗日多项式的图像：\")\n",
    "    slice_fluent_size = 1000\n",
    "    x_linespace_2 = np.linspace(-1, 1, slice_fluent_size)\n",
    "    x_linespace_10 = np.linspace(-5, 5, slice_fluent_size)\n",
    "    y1 = 1 / (1 + x_linespace_2**2)\n",
    "    Ls1 = {n_i: np.array([P(lambda x_i: 1 / (1 + x_i**2), linspace(5, n_i), x)\n",
    "                        for x in x_linespace_2]) for n_i in targets_n}\n",
    "    plt.figure(dpi=150)\n",
    "    plt.title(\"(1) Consider $f(x) = 1 / (1 + x^2)$\")\n",
    "    plt.legend(handles=plt.plot(x_linespace_2, y1, label=\"$f(x) = 1 / (1 + x^2)$\"), loc='best')\n",
    "    plt.figure(dpi=150)\n",
    "    plt.title(\"(1) Consider $f(x) = 1 / (1 + x^2)$, select n\")\n",
    "    plt.legend(handles=[plt.plot(x_linespace_2, y1, label=\"$f(x) = 1 / (1 + x^2)$\")[0],\n",
    "                        *[plt.plot(x_linespace_2, Ls1[n_i], label=f\"$P_n(x),n={n_i}$\")[0] for n_i in Ls1]], loc='best')\n",
    "    y2 = np.exp(x_linespace_10)\n",
    "    Ls2 = {n_i: np.array([P(lambda x_i: np.exp(x_i), linspace(5, n_i), x)\n",
    "                        for x in x_linespace_10]) for n_i in targets_n}\n",
    "    plt.figure(dpi=150)\n",
    "    plt.title(\"(2) Consider $f(x) = e^x$\")\n",
    "    plt.legend(handles=plt.plot(x_linespace_10, y2, label=\"$f(x) = e^x$\"), loc='best')\n",
    "    plt.figure(dpi=150)\n",
    "    plt.title(\"(2) Consider $f(x) = e^x$, select n\")\n",
    "    plt.legend(handles=[plt.plot(x_linespace_10, y2, label=\"$f(x) = e^x$\")[0],\n",
    "                        *[plt.plot(x_linespace_10, Ls2[n_i], label=f\"$P_n(x),n={n_i}$\")[0] for n_i in Ls2]], loc='best')\n",
    "    \n",
    "\n",
    "\n",
    "problem2()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 问题四"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "问题 4：考虑拉格朗日插值问题，内插比外推更可靠吗？\n",
      "考虑函数 f(x) = sqrt(x)\n",
      "(1) 考虑以 x_0 = 1, x_1 = 4, x_2 = 9 为节点的拉格朗日插值多项式 P_2(x)\n",
      "          函数值     f(x)        差值\n",
      "5      2.2667   2.2361   -0.0306\n",
      "50   -20.2333   7.0711   27.3044\n",
      "115 -171.9000  10.7238  182.6238\n",
      "185 -492.7333  13.6015  506.3348\n",
      "平均差值: 179.0581\n",
      "(2) 考虑以 x_0 = 25, x_1 = 36, x_2 = 49 为节点的拉格朗日插值多项式 P_2(x)\n",
      "        函数值     f(x)      差值\n",
      "5    2.8205   2.2361 -0.5844\n",
      "50   7.0688   7.0711  0.0023\n",
      "115  9.0385  10.7238  1.6853\n",
      "185  5.6527  13.6015  7.9488\n",
      "平均差值: 2.2630\n",
      "(3) 考虑以 x_0 = 81, x_1 = 100, x_2 = 121 为节点的拉格朗日插值多项式 P_2(x)\n",
      "         函数值     f(x)      差值\n",
      "5     4.0952   2.2361 -1.8592\n",
      "50    7.1742   7.0711 -0.1031\n",
      "115  10.7256  10.7238 -0.0018\n",
      "185  13.3659  13.6015  0.2356\n",
      "平均差值: -0.4321\n",
      "(4) 考虑以 x_0 = 144, x_1 = 169, x_2 = 196 为节点的拉格朗日插值多项式 P_2(x)\n",
      "         函数值     f(x)      差值\n",
      "5     5.1411   2.2361 -2.9050\n",
      "50    7.6026   7.0711 -0.5316\n",
      "115  10.7508  10.7238 -0.0270\n",
      "185  13.6026  13.6015 -0.0012\n",
      "平均差值: -0.8662\n"
     ]
    },
    {
     "data": {
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>x_0,x_1,x_2</th>\n",
       "      <th>平均差值</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1,4,9</td>\n",
       "      <td>179.0581</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>25,36,49</td>\n",
       "      <td>2.2630</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>81,100,121</td>\n",
       "      <td>-0.4321</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>144,169,196</td>\n",
       "      <td>-0.8662</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   x_0,x_1,x_2      平均差值\n",
       "0        1,4,9  179.0581\n",
       "1     25,36,49    2.2630\n",
       "2   81,100,121   -0.4321\n",
       "3  144,169,196   -0.8662"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def problem4():\n",
    "    print(\"问题 4：考虑拉格朗日插值问题，内插比外推更可靠吗？\")\n",
    "\n",
    "    def f(x: float):\n",
    "        return np.sqrt(x)\n",
    "\n",
    "    target_x = [5, 50, 115, 185]\n",
    "\n",
    "    print(\"考虑函数 f(x) = sqrt(x)\")\n",
    "\n",
    "    def do_by_node(index: int, nodes: list):\n",
    "        print(f\"({index}) 考虑以\", \", \".join(\n",
    "            [f\"x_{i} = {nodes[i]}\" for i in range(3)]), \"为节点的拉格朗日插值多项式 P_2(x)\")\n",
    "        print(DataFrame({\n",
    "            \"函数值\": {x: P(f, nodes, x) for x in target_x},\n",
    "            \"f(x)\": {x: f(x) for x in target_x},\n",
    "            \"差值\": {x: f(x) - P(f, nodes, x) for x in target_x}\n",
    "        }).round(4))\n",
    "        mean = np.mean([f(x) - P(f, nodes, x) for x in target_x])\n",
    "        print(f\"平均差值: {mean:.4f}\")\n",
    "        return mean\n",
    "\n",
    "    nodes_data = [\n",
    "        [(i + 1) ** 2 for i in range(3)],\n",
    "        [(i + 5) ** 2 for i in range(3)],\n",
    "        [(i + 9) ** 2 for i in range(3)],\n",
    "        [(i + 12) ** 2 for i in range(3)]\n",
    "    ]\n",
    "    means = [do_by_node(i + 1, nodes=nodes_data[i])\n",
    "             for i in range(len(nodes_data))]\n",
    "    return DataFrame({\n",
    "        \"x_0,x_1,x_2\": [\",\".join([str(n) for n in nodes_data[i]]) for i in range(len(nodes_data))],\n",
    "        \"平均差值\": [means[i] for i in range(len(nodes_data))]\n",
    "    }).round(4)\n",
    "\n",
    "\n",
    "problem4()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 实验结果\n",
    "\n",
    "> 准确规范地给出各个实验题目的结果，并对相应的思考题给出正确合理的回答与说明。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "由题目（1）代码、数据和图像可知：\n",
    "\n",
    "1. 对 $f(x) = 1/(1+x^2)$ 函数而言，在 $[-5,5]$ 范围内，并不是 $n$ 越大越好，$n$ 越大反而误差增大。\n",
    "2. 对 $f(x) = e^x$ 函数而言，在 $[-1,1]$ 范围内，$n$ 越大拟合效果越好。\n",
    "\n",
    "所以不是 $n$ 越大越好，需要结合具体函数考虑。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "由题目（2）代码、数据和图像，并且结合题目（1）的数据可知：\n",
    "\n",
    "1. 对 $f(x) = 1/(1+x^2)$ 函数而言，$[-1, 1]$ 差值区间效果要比 $[-5, 5]$ 好。\n",
    "2. 对 $f(x) = e^x$ 函数而言，$[-5, 5]$ 差值区间效果要比 $[-1, 1]$ 好。\n",
    "\n",
    "所以不是差值区间越小越好，需要结合具体函数考虑。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "由题目（4）代码、数据和图像，对函数 $f(x) = \\sqrt{x}$，内插确实比外推可靠。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**思考题**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*对问题一存在的问题，应该如何解决？*\n",
    "\n",
    "问题一中，$f(x)=\\frac{1}{1+x^2}$ 在 $[-5,5]$ 的差值区间、$n\\in\\{10, 20\\}$ 的情况下拟合效果并不好，$n = 10, n = 20$ 的时候多项式在 $x$ 较大的时候明显偏大。\n",
    "\n",
    "由实验数据可知不应选择过大的插值多项式次数，$n$ 应该 $<10$。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*对问题二中存在的问题的回答，试加以说明。*\n",
    "\n",
    "插值区间不是越小越好，如这两个函数：$f(x) = \\frac{1}{1+x^2}$ 和 $f(x) = e^x$，前者在 $[-1,1]$ 上插值效果较好而在 $[-5,5]$ 上效果不好；后者在 $[-1,1]$ 上效果不好而在 $[-5,5]$ 上效果较好。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*如何理解插值问题中的内插和外推？*\n",
    "\n",
    "内插即只对已知数据集内部范围的点的插值运算，外推即对已知数据集外部范围的点进行插值运算。\n",
    "\n",
    "内插运算比外推更可靠，偏差更小的原因是内插能够更加有效地利用已知数据集的限制条件，尽量利用已知的信息进行计算推测，故更加可靠。"
   ]
  }
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